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Holomorphic functions of several variables : an introduction to the fundamental theory /

Holomorphic Functions Of Several Variables (De Gruyter Studies In Mathematics).

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kaup, Ludger, 1939-
Otros Autores: Barthel, Gottfried, Kaup, Burchard, 1940-
Formato: Electrónico eBook
Idioma:Inglés
Alemán
Publicado: Berlin ; New York : Walter de Gruyter, 1983.
Colección:De Gruyter studies in mathematics ; 3.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Kaup, Ludger,  |d 1939-  |1 https://id.oclc.org/worldcat/entity/E39PCjKkJt7hjRXhTWVctQwW8P 
245 1 0 |a Holomorphic functions of several variables :  |b an introduction to the fundamental theory /  |c Ludger Kaup, Burchard Kaup ; with the assistance of Gottfried Barthel ; translated by Michael Bridgland. 
260 |a Berlin ;  |a New York :  |b Walter de Gruyter,  |c 1983. 
300 |a 1 online resource (xiii, 349 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a data file 
490 1 |a De Gruyter studies in mathematics ;  |v 3 
504 |a Includes bibliographical references (pages 325-328) and index. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2011.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2011  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
505 0 |a 24 Analytic AlgebrasChapter 3 Complex Manifolds and the Elementary Theory of Complex Spaces; 30 Bringing in the Sheaves; 31 Ringed Spaces and Local Models of Complex Spaces; 32 Complex Manifolds and Reduced Complex Spaces; 32A Supplement: Submersions and Immersions; 32B Supplement: Examples of Complex Manifolds; 33 Zeros of Polynomials; 33A Supplement: Resultants and Discriminants; 33B Supplement: Proper Mappings and Equivalence Relations; Chapter 4 Complex Spaces; 41 Coherent Sheaves; 42 The Coherence of nO; 43 Complex Spaces. 
505 0 |a 44 Germs of Complex Spaces and Analytic Algebras 45 Discrete and Finite Holomorphic Mappings; 45A Supplement: Image Sheaves; 45B Supplement: The Analytic Spectrum; 46 The Representation Theorem for Prime Germs; 46A Supplement: Injective Holomorphic Mappings between Manifolds of the Same Dimension; 46B Supplement: Universal Denominators for Prime Germs; 47 Hilbert's Nullstellensatz and Cartan's Coherence Theorem; 48 Dimension Theory; 49 Set of Singular Points and Decomposition into Irreducible Components; 49A Supplement: Fiber Products and Quotients. 
505 0 |a Chapter 1 Regions of Holomorphy 11 Domains of Convergence of Power Series and Reinhardt Domains; 12 Regions of Holomorphy and Holomorphic Convexit; 12A Supplement: Further Extension Theorems for Holomorphic Functions; 12B Supplement: The Edge-of-the-Wedge Theorem; 13 Plurisubharmonic Functions; 14 Pseudoconvex Domains; Part Two: Function Theory on Analytic Sets; Chapter 2 The Weierstrass Preparation Theorem and its Applications; 21 Power Series Algebras; 22 The Weierstrass Theorems; 23 Algebraic Properties of nO0 and; 23A Supplement: Finite Ring-extensions, Normality. 
505 0 |a Part Three: Function Theory on Stein SpacesChapter 5 Applications of Theorem B; 50 Introductory Remarks on Cohomology; 50A Supplement: Automorphic Functions; 51 Stein Spaces; 51A Supplement: Countable Topology in Complex Spaces; 52 Theorem B and B-Spaces; 53 The Additive Cousin Problem; 53A Supplement: Meromorphic Functions on Reduced Complex Spaces; 54 The Multiplicative Cousin Problem; 54 A Supplement: The Poincaré Problem; 54B Supplement: Holomorphic Line Bundles; 55 Coherent Analytic Sheaves as Fréchet Sheaves; 56 The Exhaustion Theorem. 
520 |a Holomorphic Functions Of Several Variables (De Gruyter Studies In Mathematics). 
546 |a English. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
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650 0 |a Holomorphic functions. 
650 0 |a Mathematics. 
650 2 |a Mathematics 
650 6 |a Fonctions holomorphes. 
650 6 |a Mathématiques. 
650 7 |a MATHEMATICS  |x Complex Analysis.  |2 bisacsh 
650 7 |a Holomorphic functions  |2 fast 
650 7 |a Mathematics  |2 fast 
650 7 |a Holomorphe Funktion  |2 gnd 
650 7 |a Mehrere Variable  |2 gnd 
650 7 |a Funktionentheorie  |2 gnd 
650 7 |a Fonctions holomorphes.  |2 ram 
700 1 |a Barthel, Gottfried. 
700 1 |a Kaup, Burchard,  |d 1940-  |1 https://id.oclc.org/worldcat/entity/E39PCjx66C4GkFb9YPCPFT6BT3 
776 0 8 |i Print version:  |a Kaup, Ludger, 1939-  |t Holomorphic functions of several variables.  |d Berlin ; New York : Walter de Gruyter, 1983  |w (DLC) 83010120 
830 0 |a De Gruyter studies in mathematics ;  |v 3. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=936373  |z Texto completo 
880 0 0 |6 505-00  |t Front matter --  |t Part One: Function Theory on Domains in ℂn --  |t Chapter 0. Elementary Properties of Holomorphic Functions --  |t Chapter 1 Regions of Ηolomorphy --  |t Part Two: Function Theory on Analytic Sets --  |t Chapter 2 The Weierstrass Preparation Theorem and its Applications --  |t Chapter 3 Complex Manifolds and the Elementary Theory of Complex Spaces --  |t Chapter 4 Complex Spaces --  |t Part Three: Function Theory on Stein Spaces --  |t Chapter 5 Applications of Theorem Β --  |t Chapter 6 Proof of Theorem Β --  |t Supplement: Chapter 7 Normal Complex Spaces --  |t List of Examples --  |t Bibliography --  |t Glossary of Notations --  |t Index --  |t Backmatter 
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