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An introduction to complex analysis in several variables /
An Introduction to Complex Analysis in Several Variables.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam : New York :
North-Holland Pub. Co. ; American Elsevier Pub. Co.,
1979.
|
| Edición: | 2nd ed. |
| Colección: | North-Holland mathematical library ;
v. 7. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 008 | 090320s1979 ne ob 001 0 eng d | ||
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| 035 | |a (OCoLC)316566664 |z (OCoLC)855504514 | ||
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| 100 | 1 | |a H�ormander, Lars. | |
| 245 | 1 | 3 | |a An introduction to complex analysis in several variables / |c Lars H�ormander. |
| 250 | |a 2nd ed. | ||
| 260 | |a Amsterdam : |b North-Holland Pub. Co. ; |a New York : |b American Elsevier Pub. Co., |c 1979. | ||
| 300 | |a 1 online resource (213 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematical library ; |v v. 7 | |
| 504 | |a Includes bibliographical references (pages 208-211) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; An Introduction to Complex Analysis in Several Variables; Preface; Contents; List of Symbols; Chapter I. Analytic Functions of One Complex Variable; Summary; 1.1. Preliminaries; 1.2. Cauchy's integral formula and its applications; 1.3. The Runge approximation theorem; 1.4. The Mittag-Leffler theorem; 1.5. The Weierstrass theorem; 1.6. Subharmonic functions; Notes; Chapter II. Elementary Properties of Functions of Several Complex Variables; Summary; 2.1. Preliminaries; 2.2. Applications of Cauchy's integral formula in polydiscs. | |
| 505 | 8 | |a 2.3. The inhomogeneous Cauchy-Riemann equations in a polydisc2.4. Power series and Reinhardt domains; 2.5. Domains of holomorphy; 2.6. Pseudoconvexity and plurisubharmonicity; 2.7. Runge domains; Notes; Chapter III. Applications to Commutative Banach Algebras; Summary; 3.1. Preliminaries; 3.2. Analytic functions of elements in a Banach algebra; Notes; Chapter IV. L2 Estimates and Existence Theorems for the C Operator; Summary; 4.1. Preliminaries; 4.2. Existence theorems in pseudoconvex domains; 4.3. Approximation theorems; 4.4. Existence theorems L2 spaces; 4.5. Analytic functionals; Notes. | |
| 505 | 8 | |a Chapter V. Stein ManifoldsSummary; 5.1. Definitions; 5.2. L2 estimates and existence theorems for the c operator; 5.3. Embedding of Stein manifolds; 5.4. Envelopes of holomorphy; 5.5. The Cousin problems on a Stein manifold; 5.6. Existence and approximation theorems for sections of an analytic vector bundle; 5.7. Almost complex manifolds; Notes; Chapter VI. Local Properties of Analytic Functions; Summary; 6.1. The Weierstrass preparation theorem; 6.2. Factorization in the ring A0 of germs of analytic functions; 6.3. Finitely generated A0-modules; 6.4. The Oka theorem; Notes. | |
| 505 | 8 | |a Chapter VII. Coherent Analytic Sheaves on Stein ManifoldsSummary; 7.1. Definition of sheaves; 7.2. Existence of global sections of a coherent analytic sheaf; 7.3. Cohomology groups with values in a sheaf; 7.4. The cohomology groups of a Stein manifold with coefficients in a coherent analytic sheaf; 7.5. The de Rham theorem; 7.6. Cohomology with bounds and constant coefficient differential equations; Notes; Bibliography; Index. | |
| 520 | |a An Introduction to Complex Analysis in Several Variables. | ||
| 650 | 0 | |a Functions of several complex variables. | |
| 650 | 0 | |a Differential equations, Partial. | |
| 650 | 0 | |a Analytic functions. | |
| 650 | 6 | |a Fonctions de plusieurs variables complexes. |0 (CaQQLa)201-0001776 | |
| 650 | 6 | |a �Equations aux d�eriv�ees partielles. |0 (CaQQLa)201-0012495 | |
| 650 | 6 | |a Fonctions analytiques. |0 (CaQQLa)201-0027519 | |
| 650 | 7 | |a BUSINESS & ECONOMICS |x Industrial Management. |2 bisacsh | |
| 650 | 7 | |a BUSINESS & ECONOMICS |x Management. |2 bisacsh | |
| 650 | 7 | |a BUSINESS & ECONOMICS |x Management Science. |2 bisacsh | |
| 650 | 7 | |a BUSINESS & ECONOMICS |x Organizational Behavior. |2 bisacsh | |
| 650 | 7 | |a Analytic functions |2 fast |0 (OCoLC)fst00808336 | |
| 650 | 7 | |a Differential equations, Partial |2 fast |0 (OCoLC)fst00893484 | |
| 650 | 7 | |a Functions of several complex variables |2 fast |0 (OCoLC)fst00936123 | |
| 650 | 7 | |a Funcoes (Matematica) |2 larpcal | |
| 776 | 0 | 8 | |i Print version: |a H�ormander, Lars. |t Introduction to complex analysis in several variables. |b 2nd ed. |d Amsterdam : North-Holland Pub. Co. ; New York : American Elsevier Pub. Co., 1979 |z 0720424577 |z 9780720424577 |w (OCoLC)17864823 |
| 830 | 0 | |a North-Holland mathematical library ; |v v. 7. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444105233 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=09246509&volume=7 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/09246509/7 |z Texto completo |