Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 / / Lars Valerian Ahlfors, Lipman Bers.
Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [1971] ©1971 |
| Year of Publication: | 1971 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
66 |
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| Physical Description: | 1 online resource (430 p.) |
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Ahlfors, Lars Valerian, author. aut http://id.loc.gov/vocabulary/relators/aut Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 / Lars Valerian Ahlfors, Lipman Bers. Princeton, NJ : Princeton University Press, [1971] ©1971 1 online resource (430 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 66 Frontmatter -- Preface -- Contents -- Some Remarks on Kleinian Groups -- Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces -- Remarks on the Limit Point Set of a Finitely Generated Kleinian Group -- Extremal Quasiconformal Mappings -- Isomorphisms Between Teichmiiller Spaces -- On the Mapping Class Group of Closed Surfaces as Covering Spaces -- Schwarzian Derivatives and Mappings onto Jordan Domains -- On the Moduli of Closed Riemann Surfaces with Symmetries -- An Eigenvalue Problem for Riemann Surfaces -- Relations Between Quadratic Differentials -- Deformations of Embeddings of Riemann Surfaces in Projective Space -- Lipschitz Mappings and the p-capacity of Rings in n-space -- Spaces of Fuchsian Groups and Teichmülller Theory -- On Fricke Moduli -- Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups -- On the Degeneration of Riemann Surfaces -- Singular Riemann Matrices -- An Inequality for Kleinian Groups -- On Klein's combination Theorem III -- On Finsler Geometry and Applications to Teichmilller Spaces -- Reproducing Formulas for Poincaré Series of Dimension -2 and Applications -- Period Relations on Riemann Surfaces -- Schottky Implies Poincaré -- Teichmülller Mappings which Keep the Boundary Pointwise Fixed -- Automorphisms and Isometries of Teichmilller Space -- Deformations of Embedded Riemann Surfaces -- Fock Representations and Theta-functions -- Uniforrnizations of Infinitely Connected Domains -- References restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Riemann surfaces Congresses. MATHEMATICS / Calculus. bisacsh Affine space. Algebraic function field. Algebraic structure. Analytic continuation. Analytic function. Analytic set. Automorphic form. Automorphic function. Automorphism. Beltrami equation. Bernhard Riemann. Boundary (topology). Canonical basis. Cartesian product. Clifford's theorem. Cohomology. Commutative diagram. Commutative property. Complex multiplication. Conformal geometry. Conformal map. Coset. Degeneracy (mathematics). Diagram (category theory). Differential geometry of surfaces. Dimension (vector space). Dirichlet boundary condition. Eigenfunction. Eigenvalues and eigenvectors. Eisenstein series. Euclidean space. Existential quantification. Explicit formulae (L-function). Exterior (topology). Finsler manifold. Fourier series. Fuchsian group. Function (mathematics). Generating set of a group. Group (mathematics). Hilbert space. Holomorphic function. Homeomorphism. Homology (mathematics). Homotopy. Hyperbolic geometry. Hyperbolic group. Identity matrix. Infimum and supremum. Inner automorphism. Intersection (set theory). Intersection number (graph theory). Isometry. Isomorphism class. Isomorphism theorem. Kleinian group. Limit point. Limit set. Linear map. Lorentz group. Mapping class group. Mathematical induction. Mathematics. Matrix (mathematics). Matrix multiplication. Measure (mathematics). Meromorphic function. Metric space. Modular group. Möbius transformation. Number theory. Osgood curve. Parity (mathematics). Partial isometry. Poisson summation formula. Pole (complex analysis). Projective space. Quadratic differential. Quadratic form. Quasiconformal mapping. Quotient space (linear algebra). Quotient space (topology). Riemann mapping theorem. Riemann sphere. Riemann surface. Riemann zeta function. Scalar multiplication. Scientific notation. Selberg trace formula. Series expansion. Sign (mathematics). Square-integrable function. Subgroup. Teichmüller space. Theorem. Topological manifold. Topological space. Uniformization. Unit disk. Variable (mathematics). Abikoff, Willaim, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Accola, Robert D. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ahlfors, Lars V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bers, Lipman, author. aut http://id.loc.gov/vocabulary/relators/aut Bers, Lipman, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Birman, Joan S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Duren, Peter L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Earle, Clifford J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ehrenpreis, Leon, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Farkas, Hershel M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gardiner, Frederick, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gehring, F. W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Greenberg, Leon, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Harvey, W. J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hilden, Hugh M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Keen, Linda, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kra, Irwin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lebowitz, Aaron, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lewittes, Joseph, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Marden, Albert, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Maskit, Bernard, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb O\x27Byrne, Brian, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rao, K. V. Rajeswara, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rauch, Harry E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Reich, Edgar, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Royden, H. L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rüedy, Reto A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Satake, Ichiro, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sibner, R. J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Strebel, Kurt, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691080819 https://doi.org/10.1515/9781400822492 https://www.degruyter.com/isbn/9781400822492 Cover https://www.degruyter.com/document/cover/isbn/9781400822492/original |
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English |
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Ahlfors, Lars Valerian, Ahlfors, Lars Valerian, Bers, Lipman, |
| spellingShingle |
Ahlfors, Lars Valerian, Ahlfors, Lars Valerian, Bers, Lipman, Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 / Annals of Mathematics Studies ; Frontmatter -- Preface -- Contents -- Some Remarks on Kleinian Groups -- Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces -- Remarks on the Limit Point Set of a Finitely Generated Kleinian Group -- Extremal Quasiconformal Mappings -- Isomorphisms Between Teichmiiller Spaces -- On the Mapping Class Group of Closed Surfaces as Covering Spaces -- Schwarzian Derivatives and Mappings onto Jordan Domains -- On the Moduli of Closed Riemann Surfaces with Symmetries -- An Eigenvalue Problem for Riemann Surfaces -- Relations Between Quadratic Differentials -- Deformations of Embeddings of Riemann Surfaces in Projective Space -- Lipschitz Mappings and the p-capacity of Rings in n-space -- Spaces of Fuchsian Groups and Teichmülller Theory -- On Fricke Moduli -- Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups -- On the Degeneration of Riemann Surfaces -- Singular Riemann Matrices -- An Inequality for Kleinian Groups -- On Klein's combination Theorem III -- On Finsler Geometry and Applications to Teichmilller Spaces -- Reproducing Formulas for Poincaré Series of Dimension -2 and Applications -- Period Relations on Riemann Surfaces -- Schottky Implies Poincaré -- Teichmülller Mappings which Keep the Boundary Pointwise Fixed -- Automorphisms and Isometries of Teichmilller Space -- Deformations of Embedded Riemann Surfaces -- Fock Representations and Theta-functions -- Uniforrnizations of Infinitely Connected Domains -- References |
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Ahlfors, Lars Valerian, Ahlfors, Lars Valerian, Bers, Lipman, Abikoff, Willaim, Abikoff, Willaim, Accola, Robert D. M., Accola, Robert D. M., Ahlfors, Lars V., Ahlfors, Lars V., Bers, Lipman, Bers, Lipman, Bers, Lipman, Bers, Lipman, Birman, Joan S., Birman, Joan S., Duren, Peter L., Duren, Peter L., Earle, Clifford J., Earle, Clifford J., Ehrenpreis, Leon, Ehrenpreis, Leon, Farkas, Hershel M., Farkas, Hershel M., Gardiner, Frederick, Gardiner, Frederick, Gehring, F. W., Gehring, F. W., Greenberg, Leon, Greenberg, Leon, Harvey, W. J., Harvey, W. J., Hilden, Hugh M., Hilden, Hugh M., Keen, Linda, Keen, Linda, Kra, Irwin, Kra, Irwin, Lebowitz, Aaron, Lebowitz, Aaron, Lewittes, Joseph, Lewittes, Joseph, Marden, Albert, Marden, Albert, Maskit, Bernard, Maskit, Bernard, O\x27Byrne, Brian, O\x27Byrne, Brian, Rao, K. V. Rajeswara, Rao, K. V. Rajeswara, Rauch, Harry E., Rauch, Harry E., Reich, Edgar, Reich, Edgar, Royden, H. L., Royden, H. L., Rüedy, Reto A., Rüedy, Reto A., Satake, Ichiro, Satake, Ichiro, Sibner, R. J., Sibner, R. J., Strebel, Kurt, Strebel, Kurt, |
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Abikoff, Willaim, Abikoff, Willaim, Accola, Robert D. M., Accola, Robert D. M., Ahlfors, Lars V., Ahlfors, Lars V., Bers, Lipman, Bers, Lipman, Bers, Lipman, Bers, Lipman, Birman, Joan S., Birman, Joan S., Duren, Peter L., Duren, Peter L., Earle, Clifford J., Earle, Clifford J., Ehrenpreis, Leon, Ehrenpreis, Leon, Farkas, Hershel M., Farkas, Hershel M., Gardiner, Frederick, Gardiner, Frederick, Gehring, F. W., Gehring, F. W., Greenberg, Leon, Greenberg, Leon, Harvey, W. J., Harvey, W. J., Hilden, Hugh M., Hilden, Hugh M., Keen, Linda, Keen, Linda, Kra, Irwin, Kra, Irwin, Lebowitz, Aaron, Lebowitz, Aaron, Lewittes, Joseph, Lewittes, Joseph, Marden, Albert, Marden, Albert, Maskit, Bernard, Maskit, Bernard, O\x27Byrne, Brian, O\x27Byrne, Brian, Rao, K. V. Rajeswara, Rao, K. V. Rajeswara, Rauch, Harry E., Rauch, Harry E., Reich, Edgar, Reich, Edgar, Royden, H. L., Royden, H. L., Rüedy, Reto A., Rüedy, Reto A., Satake, Ichiro, Satake, Ichiro, Sibner, R. J., Sibner, R. J., Strebel, Kurt, Strebel, Kurt, |
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Ahlfors, Lars Valerian, |
| title |
Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 / |
| title_full |
Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 / Lars Valerian Ahlfors, Lipman Bers. |
| title_fullStr |
Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 / Lars Valerian Ahlfors, Lipman Bers. |
| title_full_unstemmed |
Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 / Lars Valerian Ahlfors, Lipman Bers. |
| title_auth |
Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 / |
| title_alt |
Frontmatter -- Preface -- Contents -- Some Remarks on Kleinian Groups -- Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces -- Remarks on the Limit Point Set of a Finitely Generated Kleinian Group -- Extremal Quasiconformal Mappings -- Isomorphisms Between Teichmiiller Spaces -- On the Mapping Class Group of Closed Surfaces as Covering Spaces -- Schwarzian Derivatives and Mappings onto Jordan Domains -- On the Moduli of Closed Riemann Surfaces with Symmetries -- An Eigenvalue Problem for Riemann Surfaces -- Relations Between Quadratic Differentials -- Deformations of Embeddings of Riemann Surfaces in Projective Space -- Lipschitz Mappings and the p-capacity of Rings in n-space -- Spaces of Fuchsian Groups and Teichmülller Theory -- On Fricke Moduli -- Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups -- On the Degeneration of Riemann Surfaces -- Singular Riemann Matrices -- An Inequality for Kleinian Groups -- On Klein's combination Theorem III -- On Finsler Geometry and Applications to Teichmilller Spaces -- Reproducing Formulas for Poincaré Series of Dimension -2 and Applications -- Period Relations on Riemann Surfaces -- Schottky Implies Poincaré -- Teichmülller Mappings which Keep the Boundary Pointwise Fixed -- Automorphisms and Isometries of Teichmilller Space -- Deformations of Embedded Riemann Surfaces -- Fock Representations and Theta-functions -- Uniforrnizations of Infinitely Connected Domains -- References |
| title_new |
Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 / |
| title_sort |
advances in the theory of riemann surfaces. (am-66), volume 66 / |
| series |
Annals of Mathematics Studies ; |
| series2 |
Annals of Mathematics Studies ; |
| publisher |
Princeton University Press, |
| publishDate |
1971 |
| physical |
1 online resource (430 p.) Issued also in print. |
| contents |
Frontmatter -- Preface -- Contents -- Some Remarks on Kleinian Groups -- Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces -- Remarks on the Limit Point Set of a Finitely Generated Kleinian Group -- Extremal Quasiconformal Mappings -- Isomorphisms Between Teichmiiller Spaces -- On the Mapping Class Group of Closed Surfaces as Covering Spaces -- Schwarzian Derivatives and Mappings onto Jordan Domains -- On the Moduli of Closed Riemann Surfaces with Symmetries -- An Eigenvalue Problem for Riemann Surfaces -- Relations Between Quadratic Differentials -- Deformations of Embeddings of Riemann Surfaces in Projective Space -- Lipschitz Mappings and the p-capacity of Rings in n-space -- Spaces of Fuchsian Groups and Teichmülller Theory -- On Fricke Moduli -- Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups -- On the Degeneration of Riemann Surfaces -- Singular Riemann Matrices -- An Inequality for Kleinian Groups -- On Klein's combination Theorem III -- On Finsler Geometry and Applications to Teichmilller Spaces -- Reproducing Formulas for Poincaré Series of Dimension -2 and Applications -- Period Relations on Riemann Surfaces -- Schottky Implies Poincaré -- Teichmülller Mappings which Keep the Boundary Pointwise Fixed -- Automorphisms and Isometries of Teichmilller Space -- Deformations of Embedded Riemann Surfaces -- Fock Representations and Theta-functions -- Uniforrnizations of Infinitely Connected Domains -- References |
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9781400822492 9783110494914 9783110442496 9780691080819 |
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Q - Science |
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QA - Mathematics |
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QA333 |
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QA 3333 A35 41971 A35 41971EB |
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Congresses. |
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https://doi.org/10.1515/9781400822492 https://www.degruyter.com/isbn/9781400822492 https://www.degruyter.com/document/cover/isbn/9781400822492/original |
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Not Illustrated |
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500 - Science |
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510 - Mathematics |
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515 - Analysis |
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515.223 |
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3515.223 |
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515.223 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>10888nam a22022695i 4500</leader><controlfield tag="001">9781400822492</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20220131112047.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">220131t19711971nju fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400822492</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400822492</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)453500</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979741670</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">nju</subfield><subfield code="c">US-NJ</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA333.A35 1971</subfield><subfield code="b">.A35 1971eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT005000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">515.223</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ahlfors, Lars Valerian, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 /</subfield><subfield code="c">Lars Valerian Ahlfors, Lipman Bers.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[1971]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1971</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (430 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Annals of Mathematics Studies ;</subfield><subfield code="v">66</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Some Remarks on Kleinian Groups -- </subfield><subfield code="t">Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces -- </subfield><subfield code="t">Remarks on the Limit Point Set of a Finitely Generated Kleinian Group -- </subfield><subfield code="t">Extremal Quasiconformal Mappings -- </subfield><subfield code="t">Isomorphisms Between Teichmiiller Spaces -- </subfield><subfield code="t">On the Mapping Class Group of Closed Surfaces as Covering Spaces -- </subfield><subfield code="t">Schwarzian Derivatives and Mappings onto Jordan Domains -- </subfield><subfield code="t">On the Moduli of Closed Riemann Surfaces with Symmetries -- </subfield><subfield code="t">An Eigenvalue Problem for Riemann Surfaces -- </subfield><subfield code="t">Relations Between Quadratic Differentials -- </subfield><subfield code="t">Deformations of Embeddings of Riemann Surfaces in Projective Space -- </subfield><subfield code="t">Lipschitz Mappings and the p-capacity of Rings in n-space -- </subfield><subfield code="t">Spaces of Fuchsian Groups and Teichmülller Theory -- </subfield><subfield code="t">On Fricke Moduli -- </subfield><subfield code="t">Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups -- </subfield><subfield code="t">On the Degeneration of Riemann Surfaces -- </subfield><subfield code="t">Singular Riemann Matrices -- </subfield><subfield code="t">An Inequality for Kleinian Groups -- </subfield><subfield code="t">On Klein's combination Theorem III -- </subfield><subfield code="t">On Finsler Geometry and Applications to Teichmilller Spaces -- </subfield><subfield code="t">Reproducing Formulas for Poincaré Series of Dimension -2 and Applications -- </subfield><subfield code="t">Period Relations on Riemann Surfaces -- </subfield><subfield code="t">Schottky Implies Poincaré -- </subfield><subfield code="t">Teichmülller Mappings which Keep the Boundary Pointwise Fixed -- </subfield><subfield code="t">Automorphisms and Isometries of Teichmilller Space -- </subfield><subfield code="t">Deformations of Embedded Riemann Surfaces -- </subfield><subfield code="t">Fock Representations and Theta-functions -- </subfield><subfield code="t">Uniforrnizations of Infinitely Connected Domains -- </subfield><subfield code="t">References</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Riemann surfaces</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Calculus.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Affine space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Algebraic function field.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Algebraic structure.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Analytic continuation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Analytic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Analytic set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Automorphic form.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Automorphic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Automorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Beltrami equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Bernhard Riemann.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Boundary (topology).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Canonical basis.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cartesian product.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Clifford's theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cohomology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Commutative diagram.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Commutative property.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complex multiplication.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Conformal geometry.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Conformal map.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Coset.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Degeneracy (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Diagram (category theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Differential geometry of surfaces.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dimension (vector space).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dirichlet boundary condition.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Eigenfunction.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Eigenvalues and eigenvectors.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Eisenstein series.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Euclidean space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Existential quantification.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Explicit formulae (L-function).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Exterior (topology).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Finsler manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fourier series.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fuchsian group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Function (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Generating set of a group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Group (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hilbert space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Holomorphic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homeomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homology (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homotopy.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hyperbolic geometry.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hyperbolic group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Identity matrix.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Infimum and supremum.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Inner automorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Intersection (set theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Intersection number (graph theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Isometry.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Isomorphism class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Isomorphism theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Kleinian group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Limit point.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Limit set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Linear map.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lorentz group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mapping class group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematical induction.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematics.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Matrix (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Matrix multiplication.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Measure (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Meromorphic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Metric space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Modular group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Möbius transformation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Number theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Osgood curve.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Parity (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Partial isometry.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Poisson summation formula.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pole (complex analysis).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Projective space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quadratic differential.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quadratic form.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quasiconformal mapping.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quotient space (linear algebra).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quotient space (topology).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann mapping theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann sphere.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann surface.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann zeta function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Scalar multiplication.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Scientific notation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Selberg trace formula.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Series expansion.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sign (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Square-integrable function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subgroup.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Teichmüller space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topological manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topological space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Uniformization.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Unit disk.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Variable (mathematics).</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Abikoff, Willaim, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Accola, Robert D. M., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ahlfors, Lars V., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bers, Lipman, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bers, Lipman, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Birman, Joan S., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Duren, Peter L., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Earle, Clifford J., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ehrenpreis, Leon, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Farkas, Hershel M., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gardiner, Frederick, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gehring, F. W., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Greenberg, Leon, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Harvey, W. J., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hilden, Hugh M., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Keen, Linda, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kra, Irwin, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lebowitz, Aaron, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lewittes, Joseph, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Marden, Albert, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Maskit, Bernard, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">O\x27Byrne, Brian, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rao, K. 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L., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rüedy, Reto A., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Satake, Ichiro, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sibner, R. 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