Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves.
In the first two chapters of this book, the reader will find a complete and systematic exposition of the theory of hyperfunctions on totally real submanifolds of multidimensional complex space, in particular of hyperfunction theory in real space. The book provides precise definitions of the hypo-ana...
Saved in:
| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1995 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
136 |
| Online Access: | |
| Physical Description: | 1 online resource (378 p.) |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
9781400882564 |
|---|---|
| ctrlnum |
(DE-B1597)467920 (OCoLC)954123835 |
| collection |
bib_alma |
| record_format |
marc |
| spelling |
Cordaro, Paulo, author. aut http://id.loc.gov/vocabulary/relators/aut Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / Paulo Cordaro, François Treves. Princeton, NJ : Princeton University Press, [2016] ©1995 1 online resource (378 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 136 Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star In the first two chapters of this book, the reader will find a complete and systematic exposition of the theory of hyperfunctions on totally real submanifolds of multidimensional complex space, in particular of hyperfunction theory in real space. The book provides precise definitions of the hypo-analytic wave-front set and of the Fourier-Bros-Iagolnitzer transform of a hyperfunction. These are used to prove a very general version of the famed Theorem of the Edge of the Wedge. The last two chapters define the hyperfunction solutions on a general (smooth) hypo-analytic manifold, of which particular examples are the real analytic manifolds and the embedded CR manifolds. The main results here are the invariance of the spaces of hyperfunction solutions and the transversal smoothness of every hyperfunction solution. From this follows the uniqueness of solutions in the Cauchy problem with initial data on a maximally real submanifold, and the fact that the support of any solution is the union of orbits of the structure. 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) Hyperfunctions. Submanifolds. MATHEMATICS / Geometry / Algebraic. bisacsh Alexander Grothendieck. Analytic function. Analytic manifold. Borel transform. Boundary value problem. Bounded function. Bounded set (topological vector space). Bounded set. C0. CR manifold. Cauchy problem. Codimension. Coefficient. Cohomology. Compact space. Complex manifold. Complex number. Complex space. Connected space. Continuous function (set theory). Continuous function. Convex set. Convolution. Cotangent bundle. Counterexample. De Rham cohomology. Dense set. Differential operator. Disjoint union. Domain of a function. Eigenvalues and eigenvectors. Embedding. Entire function. Equation. Equivalence class. Equivalence relation. Euclidean space. Existential quantification. Exterior algebra. Exterior derivative. Fiber bundle. Fourier transform. Function space. Functional analysis. Fundamental solution. Harmonic function. Holomorphic function. Homomorphism. Hyperfunction. Hypersurface. Infimum and supremum. Integration by parts. Laplace's equation. Limit of a sequence. Linear map. Linear space (geometry). Linear subspace. Locally convex topological vector space. Mathematical induction. Montel space. Montel's theorem. Morphism. Neighbourhood (mathematics). Norm (mathematics). Open set. Partial derivative. Partial differential equation. Polytope. Presheaf (category theory). Pullback (category theory). Pullback. Quotient space (topology). Radon measure. Real structure. Riemann sphere. Serre duality. Several complex variables. Sheaf (mathematics). Sheaf cohomology. Singular integral. Sobolev space. Special case. Submanifold. Subsequence. Subset. Summation. Tangent bundle. Theorem. Topology of uniform convergence. Topology. Transitive relation. Transpose. Transversal (geometry). Uniform convergence. Uniqueness theorem. Vanish at infinity. Variable (mathematics). Vector bundle. Vector field. Wave front set. Treves, François, author. aut http://id.loc.gov/vocabulary/relators/aut 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 9780691029924 https://doi.org/10.1515/9781400882564 https://www.degruyter.com/isbn/9781400882564 Cover https://www.degruyter.com/document/cover/isbn/9781400882564/original |
| language |
English |
| format |
eBook |
| author |
Cordaro, Paulo, Cordaro, Paulo, Treves, François, |
| spellingShingle |
Cordaro, Paulo, Cordaro, Paulo, Treves, François, Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / Annals of Mathematics Studies ; Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
| author_facet |
Cordaro, Paulo, Cordaro, Paulo, Treves, François, Treves, François, Treves, François, |
| author_variant |
p c pc p c pc f t ft |
| author_role |
VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Treves, François, Treves, François, |
| author2_variant |
f t ft |
| author2_role |
VerfasserIn VerfasserIn |
| author_sort |
Cordaro, Paulo, |
| title |
Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / |
| title_full |
Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / Paulo Cordaro, François Treves. |
| title_fullStr |
Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / Paulo Cordaro, François Treves. |
| title_full_unstemmed |
Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / Paulo Cordaro, François Treves. |
| title_auth |
Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / |
| title_alt |
Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
| title_new |
Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / |
| title_sort |
hyperfunctions on hypo-analytic manifolds (am-136), volume 136 / |
| series |
Annals of Mathematics Studies ; |
| series2 |
Annals of Mathematics Studies ; |
| publisher |
Princeton University Press, |
| publishDate |
2016 |
| physical |
1 online resource (378 p.) Issued also in print. |
| contents |
Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
| isbn |
9781400882564 9783110494914 9783110442496 9780691029924 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA324 |
| callnumber-sort |
QA 3324 C67 41994 |
| url |
https://doi.org/10.1515/9781400882564 https://www.degruyter.com/isbn/9781400882564 https://www.degruyter.com/document/cover/isbn/9781400882564/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515/.782 |
| dewey-sort |
3515 3782 |
| dewey-raw |
515/.782 |
| dewey-search |
515/.782 |
| doi_str_mv |
10.1515/9781400882564 |
| oclc_num |
954123835 |
| work_keys_str_mv |
AT cordaropaulo hyperfunctionsonhypoanalyticmanifoldsam136volume136 AT trevesfrancois hyperfunctionsonhypoanalyticmanifoldsam136volume136 |
| status_str |
n |
| ids_txt_mv |
(DE-B1597)467920 (OCoLC)954123835 |
| carrierType_str_mv |
cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
| is_hierarchy_title |
Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / |
| container_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
| author2_original_writing_str_mv |
noLinkedField noLinkedField |
| _version_ |
1770176761087131648 |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>07789nam a22019455i 4500</leader><controlfield tag="001">9781400882564</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">220131t20161995nju fo d z eng d</controlfield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">(OCoLC)990523682</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400882564</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400882564</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)467920</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)954123835</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">QA324</subfield><subfield code="b">.C67 1994</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT012010</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">515/.782</subfield><subfield code="2">20</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cordaro, Paulo, </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">Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 /</subfield><subfield code="c">Paulo Cordaro, François Treves.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (378 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">136</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">CONTENTS -- </subfield><subfield code="t">PREFACE -- </subfield><subfield code="t">0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- </subfield><subfield code="t">0.2 BACKGROUND ON SHEAF COHOMOLOGY -- </subfield><subfield code="t">CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- </subfield><subfield code="t">CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- </subfield><subfield code="t">CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- </subfield><subfield code="t">CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- </subfield><subfield code="t">HISTORICAL NOTES -- </subfield><subfield code="t">BIBLIOGRAPHICAL REFERENCES -- </subfield><subfield code="t">INDEX OF TERMS</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">In the first two chapters of this book, the reader will find a complete and systematic exposition of the theory of hyperfunctions on totally real submanifolds of multidimensional complex space, in particular of hyperfunction theory in real space. The book provides precise definitions of the hypo-analytic wave-front set and of the Fourier-Bros-Iagolnitzer transform of a hyperfunction. These are used to prove a very general version of the famed Theorem of the Edge of the Wedge. The last two chapters define the hyperfunction solutions on a general (smooth) hypo-analytic manifold, of which particular examples are the real analytic manifolds and the embedded CR manifolds. The main results here are the invariance of the spaces of hyperfunction solutions and the transversal smoothness of every hyperfunction solution. From this follows the uniqueness of solutions in the Cauchy problem with initial data on a maximally real submanifold, and the fact that the support of any solution is the union of orbits of the structure.</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">Hyperfunctions.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Submanifolds.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Geometry / Algebraic.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Alexander Grothendieck.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Analytic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Analytic manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Borel transform.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Boundary value problem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Bounded function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Bounded set (topological vector space).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Bounded set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">C0.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">CR manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cauchy problem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Codimension.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Coefficient.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cohomology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Compact space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complex manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complex number.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complex space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Connected space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Continuous function (set theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Continuous function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Convex set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Convolution.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cotangent bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Counterexample.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">De Rham cohomology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dense set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Differential operator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Disjoint union.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Domain of a function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Eigenvalues and eigenvectors.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Embedding.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Entire function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equivalence class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equivalence relation.</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">Exterior algebra.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Exterior derivative.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fiber bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fourier transform.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Function space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Functional analysis.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fundamental solution.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Harmonic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Holomorphic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hyperfunction.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hypersurface.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Infimum and supremum.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Integration by parts.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Laplace's equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Limit of a sequence.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Linear map.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Linear space (geometry).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Linear subspace.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Locally convex topological vector space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematical induction.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Montel space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Montel's theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Morphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Neighbourhood (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Norm (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Open set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Partial derivative.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Partial differential equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Polytope.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Presheaf (category theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pullback (category theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pullback.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quotient space (topology).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Radon measure.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Real structure.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann sphere.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Serre duality.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Several complex variables.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sheaf (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sheaf cohomology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Singular integral.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sobolev space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Special case.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Submanifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subsequence.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subset.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Summation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Tangent bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topology of uniform convergence.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transitive relation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transpose.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transversal (geometry).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Uniform convergence.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Uniqueness theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vanish at infinity.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Variable (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vector bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vector field.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Wave front set.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Treves, François, </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="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton Annals of Mathematics eBook-Package 1940-2020</subfield><subfield code="z">9783110494914</subfield><subfield code="o">ZDB-23-PMB</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton University Press eBook-Package Archive 1927-1999</subfield><subfield code="z">9783110442496</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9780691029924</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400882564</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781400882564</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9781400882564/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999</subfield><subfield code="c">1927</subfield><subfield code="d">1999</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_PPALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-PMB</subfield><subfield code="c">1940</subfield><subfield code="d">2020</subfield></datafield></record></collection> |