Pseudodifferential Operators (PMS-34) / / Michael Eugene Taylor.
Here Michael Taylor develops pseudodifferential operators as a tool for treating problems in linear partial differential equations, including existence, uniqueness, and estimates of smoothness, as well as other qualitative properties.Originally published in 1981.The Princeton Legacy Library uses the...
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2017] ©1981 |
| Year of Publication: | 2017 |
| Language: | English |
| Series: | Princeton Mathematical Series ;
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Taylor, Michael Eugene, author. aut http://id.loc.gov/vocabulary/relators/aut Pseudodifferential Operators (PMS-34) / Michael Eugene Taylor. Princeton, NJ : Princeton University Press, [2017] ©1981 1 online resource (464 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Mathematical Series ; 5157 Frontmatter -- Contents -- Acknowledgments -- Introduction -- CHAPTER I. Distributions and Sobolev Spaces -- CHAPTER II. Pseudodifferential Operators -- CHAPTER III. Elliptic and Hypoelliptic Operators -- CHAPTER IV. The Initial Value Problem and Hyperbolic Operators -- CHAPTER V. Elliptic Boundary Value Problems -- CHAPTER VI. Wave Front Sets and Propagation of Singularities -- CHAPTER VII. The Sharp Gårding Inequality -- CHAPTER VIII. Geometrical Optics and Fourier Integral Operators -- CHAPTER IX. Reflection of Singularities -- CHAPTER X. Grazing Rays and Diffraction -- CHAPTER XI. LP and Holder Space Theory of Pseudodifferential Operators -- CHAPTER XII. Spectral Theory and Harmonic Analysis of Elliptic Self-Adjoint Operators -- CHAPTER XIII. The Calderon-Vaillancourt Theorem and Hörmander-Melin Inequalities -- CHAPTER XIV. Uniqueness in the Cauchy Problem -- CHAPTER XV. Operators with Double Characteristics -- Bibliography -- General Index -- Index of Symbols restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Here Michael Taylor develops pseudodifferential operators as a tool for treating problems in linear partial differential equations, including existence, uniqueness, and estimates of smoothness, as well as other qualitative properties.Originally published in 1981.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. 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) Differential equations, Partial. Pseudodifferential operators. MATHEMATICS / Differential Equations / General. bisacsh Airy function. Antiholomorphic function. Asymptotic expansion. Banach space. Besov space. Bessel function. Big O notation. Bilinear form. Boundary value problem. Bounded operator. Bounded set (topological vector space). Canonical transformation. Cauchy problem. Cauchy–Kowalevski theorem. Cauchy–Riemann equations. Change of variables. Characteristic variety. Compact operator. Constant coefficients. Continuous linear extension. Convex cone. Differential operator. Dirac delta function. Discrete series representation. Distribution (mathematics). Egorov's theorem. Eigenfunction. Eigenvalues and eigenvectors. Eikonal equation. Elliptic operator. Equation. Existence theorem. Existential quantification. Formal power series. Fourier integral operator. Fourier inversion theorem. Fubini's theorem. Fundamental solution. Hardy–Littlewood maximal function. Harmonic conjugate. Heaviside step function. Hilbert transform. Holomorphic function. Homogeneous function. Hyperbolic partial differential equation. Hypersurface. Hypoelliptic operator. Hölder condition. Inclusion map. Infimum and supremum. Initial value problem. Integral equation. Integral transform. Integration by parts. Interpolation space. Lebesgue measure. Linear map. Lipschitz continuity. Lp space. Marcinkiewicz interpolation theorem. Maximum principle. Mean value theorem. Modulus of continuity. Mollifier. Norm (mathematics). Open mapping theorem (complex analysis). Open set. Operator (physics). Operator norm. Orthonormal basis. Parametrix. Partial differential equation. Partition of unity. Polynomial. Probability measure. Projection (linear algebra). Pseudo-differential operator. Riemannian manifold. Self-adjoint operator. Self-adjoint. Singular integral. Skew-symmetric matrix. Smoothness. Sobolev space. Special case. Spectral theorem. Spectral theory. Support (mathematics). Symplectic vector space. Taylor's theorem. Theorem. Trace class. Unbounded operator. Unitary operator. Vanish at infinity. Vector bundle. Wave front set. Weierstrass preparation theorem. Wiener's tauberian theorem. Zero of a function. Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package 9783110501063 ZDB-23-PMS Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 https://doi.org/10.1515/9781400886104 https://www.degruyter.com/isbn/9781400886104 Cover https://www.degruyter.com/document/cover/isbn/9781400886104/original |
| language |
English |
| format |
eBook |
| author |
Taylor, Michael Eugene, Taylor, Michael Eugene, |
| spellingShingle |
Taylor, Michael Eugene, Taylor, Michael Eugene, Pseudodifferential Operators (PMS-34) / Princeton Mathematical Series ; Frontmatter -- Contents -- Acknowledgments -- Introduction -- CHAPTER I. Distributions and Sobolev Spaces -- CHAPTER II. Pseudodifferential Operators -- CHAPTER III. Elliptic and Hypoelliptic Operators -- CHAPTER IV. The Initial Value Problem and Hyperbolic Operators -- CHAPTER V. Elliptic Boundary Value Problems -- CHAPTER VI. Wave Front Sets and Propagation of Singularities -- CHAPTER VII. The Sharp Gårding Inequality -- CHAPTER VIII. Geometrical Optics and Fourier Integral Operators -- CHAPTER IX. Reflection of Singularities -- CHAPTER X. Grazing Rays and Diffraction -- CHAPTER XI. LP and Holder Space Theory of Pseudodifferential Operators -- CHAPTER XII. Spectral Theory and Harmonic Analysis of Elliptic Self-Adjoint Operators -- CHAPTER XIII. The Calderon-Vaillancourt Theorem and Hörmander-Melin Inequalities -- CHAPTER XIV. Uniqueness in the Cauchy Problem -- CHAPTER XV. Operators with Double Characteristics -- Bibliography -- General Index -- Index of Symbols |
| author_facet |
Taylor, Michael Eugene, Taylor, Michael Eugene, |
| author_variant |
m e t me met m e t me met |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Taylor, Michael Eugene, |
| title |
Pseudodifferential Operators (PMS-34) / |
| title_full |
Pseudodifferential Operators (PMS-34) / Michael Eugene Taylor. |
| title_fullStr |
Pseudodifferential Operators (PMS-34) / Michael Eugene Taylor. |
| title_full_unstemmed |
Pseudodifferential Operators (PMS-34) / Michael Eugene Taylor. |
| title_auth |
Pseudodifferential Operators (PMS-34) / |
| title_alt |
Frontmatter -- Contents -- Acknowledgments -- Introduction -- CHAPTER I. Distributions and Sobolev Spaces -- CHAPTER II. Pseudodifferential Operators -- CHAPTER III. Elliptic and Hypoelliptic Operators -- CHAPTER IV. The Initial Value Problem and Hyperbolic Operators -- CHAPTER V. Elliptic Boundary Value Problems -- CHAPTER VI. Wave Front Sets and Propagation of Singularities -- CHAPTER VII. The Sharp Gårding Inequality -- CHAPTER VIII. Geometrical Optics and Fourier Integral Operators -- CHAPTER IX. Reflection of Singularities -- CHAPTER X. Grazing Rays and Diffraction -- CHAPTER XI. LP and Holder Space Theory of Pseudodifferential Operators -- CHAPTER XII. Spectral Theory and Harmonic Analysis of Elliptic Self-Adjoint Operators -- CHAPTER XIII. The Calderon-Vaillancourt Theorem and Hörmander-Melin Inequalities -- CHAPTER XIV. Uniqueness in the Cauchy Problem -- CHAPTER XV. Operators with Double Characteristics -- Bibliography -- General Index -- Index of Symbols |
| title_new |
Pseudodifferential Operators (PMS-34) / |
| title_sort |
pseudodifferential operators (pms-34) / |
| series |
Princeton Mathematical Series ; |
| series2 |
Princeton Mathematical Series ; |
| publisher |
Princeton University Press, |
| publishDate |
2017 |
| physical |
1 online resource (464 p.) |
| contents |
Frontmatter -- Contents -- Acknowledgments -- Introduction -- CHAPTER I. Distributions and Sobolev Spaces -- CHAPTER II. Pseudodifferential Operators -- CHAPTER III. Elliptic and Hypoelliptic Operators -- CHAPTER IV. The Initial Value Problem and Hyperbolic Operators -- CHAPTER V. Elliptic Boundary Value Problems -- CHAPTER VI. Wave Front Sets and Propagation of Singularities -- CHAPTER VII. The Sharp Gårding Inequality -- CHAPTER VIII. Geometrical Optics and Fourier Integral Operators -- CHAPTER IX. Reflection of Singularities -- CHAPTER X. Grazing Rays and Diffraction -- CHAPTER XI. LP and Holder Space Theory of Pseudodifferential Operators -- CHAPTER XII. Spectral Theory and Harmonic Analysis of Elliptic Self-Adjoint Operators -- CHAPTER XIII. The Calderon-Vaillancourt Theorem and Hörmander-Melin Inequalities -- CHAPTER XIV. Uniqueness in the Cauchy Problem -- CHAPTER XV. Operators with Double Characteristics -- Bibliography -- General Index -- Index of Symbols |
| isbn |
9781400886104 9783110501063 9783110442496 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA374 |
| callnumber-sort |
QA 3374 |
| url |
https://doi.org/10.1515/9781400886104 https://www.degruyter.com/isbn/9781400886104 https://www.degruyter.com/document/cover/isbn/9781400886104/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515.352 |
| dewey-sort |
3515.352 |
| dewey-raw |
515.352 |
| dewey-search |
515.352 |
| doi_str_mv |
10.1515/9781400886104 |
| oclc_num |
973771199 |
| work_keys_str_mv |
AT taylormichaeleugene pseudodifferentialoperatorspms34 |
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n |
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(DE-B1597)481959 (OCoLC)973771199 |
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cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
| is_hierarchy_title |
Pseudodifferential Operators (PMS-34) / |
| container_title |
Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package |
| _version_ |
1770176763079426048 |
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operator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vanish at infinity.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vector bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Wave front set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Weierstrass preparation theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Wiener's tauberian theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Zero of a function.</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 Mathematical Series eBook Package</subfield><subfield code="z">9783110501063</subfield><subfield code="o">ZDB-23-PMS</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="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400886104</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781400886104</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9781400886104/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" 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