Holomorphic functions of several variables :: an introduction to the fundamental theory /
Holomorphic Functions Of Several Variables (De Gruyter Studies In Mathematics).
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English German |
| Veröffentlicht: |
Berlin ; New York :
Walter de Gruyter,
1983.
|
| Schriftenreihe: | De Gruyter studies in mathematics ;
3. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Holomorphic Functions Of Several Variables (De Gruyter Studies In Mathematics). |
| Beschreibung: | 1 online resource (xiii, 349 pages) |
| Format: | 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. |
| Bibliographie: | Includes bibliographical references (pages 325-328) and index. |
| ISBN: | 9783110838350 3110838354 |
Internformat
MARC
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| 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) | ||
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| 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. | ||
| 650 | 0 | |a Holomorphic functions. |0 http://id.loc.gov/authorities/subjects/sh85061536 | |
| 650 | 0 | |a Mathematics. |0 http://id.loc.gov/authorities/subjects/sh85082139 | |
| 650 | 2 | |a Mathematics |0 https://id.nlm.nih.gov/mesh/D008433 | |
| 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 |0 http://d-nb.info/gnd/4025645-5 | |
| 650 | 7 | |a Mehrere Variable |2 gnd |0 http://d-nb.info/gnd/4277015-4 | |
| 650 | 7 | |a Funktionentheorie |2 gnd |0 http://d-nb.info/gnd/4018935-1 | |
| 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 |0 http://id.loc.gov/authorities/names/n82215542 | |
| 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. |0 http://id.loc.gov/authorities/names/n83742913 | |
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| 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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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn815508927 |
|---|---|
| _version_ | 1816882212855873536 |
| adam_text | |
| any_adam_object | |
| author | Kaup, Ludger, 1939- |
| author2 | Barthel, Gottfried Kaup, Burchard, 1940- |
| author2_role | |
| author2_variant | g b gb b k bk |
| author_GND | http://id.loc.gov/authorities/names/n83014855 http://id.loc.gov/authorities/names/n82215542 |
| author_facet | Kaup, Ludger, 1939- Barthel, Gottfried Kaup, Burchard, 1940- |
| author_role | |
| author_sort | Kaup, Ludger, 1939- |
| author_variant | l k lk |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA331 |
| callnumber-raw | QA331 .K374 1983eb |
| callnumber-search | QA331 .K374 1983eb |
| callnumber-sort | QA 3331 K374 41983EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | 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. 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. 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. 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. |
| ctrlnum | (OCoLC)815508927 |
| dewey-full | 515.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.9 |
| dewey-search | 515.9 |
| dewey-sort | 3515.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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New York : Walter de Gruyter, 1983</subfield><subfield code="w">(DLC) 83010120</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">De Gruyter studies in mathematics ;</subfield><subfield code="v">3.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n83742913</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=560166</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="880" ind1="0" ind2="0"><subfield code="6">505-00</subfield><subfield code="t">Front matter --</subfield><subfield code="t">Part One: Function Theory on Domains in ℂn --</subfield><subfield code="t">Chapter 0. 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| id | ZDB-4-EBA-ocn815508927 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:01Z |
| institution | BVB |
| isbn | 9783110838350 3110838354 |
| language | English German |
| oclc_num | 815508927 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 349 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Walter de Gruyter, |
| record_format | marc |
| series | De Gruyter studies in mathematics ; |
| series2 | De Gruyter studies in mathematics ; |
| spelling | Kaup, Ludger, 1939- https://id.oclc.org/worldcat/entity/E39PCjKkJt7hjRXhTWVctQwW8P http://id.loc.gov/authorities/names/n83014855 Holomorphic functions of several variables : an introduction to the fundamental theory / Ludger Kaup, Burchard Kaup ; with the assistance of Gottfried Barthel ; translated by Michael Bridgland. Berlin ; New York : Walter de Gruyter, 1983. 1 online resource (xiii, 349 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file De Gruyter studies in mathematics ; 3 Includes bibliographical references (pages 325-328) and index. Use copy Restrictions unspecified star MiAaHDL Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2011. MiAaHDL 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. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL 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. 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. 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. 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. Holomorphic Functions Of Several Variables (De Gruyter Studies In Mathematics). English. Holomorphic functions. http://id.loc.gov/authorities/subjects/sh85061536 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Mathematics https://id.nlm.nih.gov/mesh/D008433 Fonctions holomorphes. Mathématiques. MATHEMATICS Complex Analysis. bisacsh Holomorphic functions fast Mathematics fast Holomorphe Funktion gnd http://d-nb.info/gnd/4025645-5 Mehrere Variable gnd http://d-nb.info/gnd/4277015-4 Funktionentheorie gnd http://d-nb.info/gnd/4018935-1 Fonctions holomorphes. ram Barthel, Gottfried. Kaup, Burchard, 1940- https://id.oclc.org/worldcat/entity/E39PCjx66C4GkFb9YPCPFT6BT3 http://id.loc.gov/authorities/names/n82215542 Print version: Kaup, Ludger, 1939- Holomorphic functions of several variables. Berlin ; New York : Walter de Gruyter, 1983 (DLC) 83010120 De Gruyter studies in mathematics ; 3. http://id.loc.gov/authorities/names/n83742913 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=560166 Volltext 505-00 Front matter -- Part One: Function Theory on Domains in ℂn -- Chapter 0. Elementary Properties of Holomorphic Functions -- Chapter 1 Regions of Ηolomorphy -- Part Two: Function Theory on Analytic Sets -- Chapter 2 The Weierstrass Preparation Theorem and its Applications -- Chapter 3 Complex Manifolds and the Elementary Theory of Complex Spaces -- Chapter 4 Complex Spaces -- Part Three: Function Theory on Stein Spaces -- Chapter 5 Applications of Theorem Β -- Chapter 6 Proof of Theorem Β -- Supplement: Chapter 7 Normal Complex Spaces -- List of Examples -- Bibliography -- Glossary of Notations -- Index -- Backmatter |
| spellingShingle | Kaup, Ludger, 1939- Holomorphic functions of several variables : an introduction to the fundamental theory / De Gruyter studies in mathematics ; 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. 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. 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. 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. Holomorphic functions. http://id.loc.gov/authorities/subjects/sh85061536 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Mathematics https://id.nlm.nih.gov/mesh/D008433 Fonctions holomorphes. Mathématiques. MATHEMATICS Complex Analysis. bisacsh Holomorphic functions fast Mathematics fast Holomorphe Funktion gnd http://d-nb.info/gnd/4025645-5 Mehrere Variable gnd http://d-nb.info/gnd/4277015-4 Funktionentheorie gnd http://d-nb.info/gnd/4018935-1 Fonctions holomorphes. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85061536 http://id.loc.gov/authorities/subjects/sh85082139 https://id.nlm.nih.gov/mesh/D008433 http://d-nb.info/gnd/4025645-5 http://d-nb.info/gnd/4277015-4 http://d-nb.info/gnd/4018935-1 |
| title | Holomorphic functions of several variables : an introduction to the fundamental theory / |
| title_auth | Holomorphic functions of several variables : an introduction to the fundamental theory / |
| title_exact_search | Holomorphic functions of several variables : an introduction to the fundamental theory / |
| title_full | Holomorphic functions of several variables : an introduction to the fundamental theory / Ludger Kaup, Burchard Kaup ; with the assistance of Gottfried Barthel ; translated by Michael Bridgland. |
| title_fullStr | Holomorphic functions of several variables : an introduction to the fundamental theory / Ludger Kaup, Burchard Kaup ; with the assistance of Gottfried Barthel ; translated by Michael Bridgland. |
| title_full_unstemmed | Holomorphic functions of several variables : an introduction to the fundamental theory / Ludger Kaup, Burchard Kaup ; with the assistance of Gottfried Barthel ; translated by Michael Bridgland. |
| title_short | Holomorphic functions of several variables : |
| title_sort | holomorphic functions of several variables an introduction to the fundamental theory |
| title_sub | an introduction to the fundamental theory / |
| topic | Holomorphic functions. http://id.loc.gov/authorities/subjects/sh85061536 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Mathematics https://id.nlm.nih.gov/mesh/D008433 Fonctions holomorphes. Mathématiques. MATHEMATICS Complex Analysis. bisacsh Holomorphic functions fast Mathematics fast Holomorphe Funktion gnd http://d-nb.info/gnd/4025645-5 Mehrere Variable gnd http://d-nb.info/gnd/4277015-4 Funktionentheorie gnd http://d-nb.info/gnd/4018935-1 Fonctions holomorphes. ram |
| topic_facet | Holomorphic functions. Mathematics. Mathematics Fonctions holomorphes. Mathématiques. MATHEMATICS Complex Analysis. Holomorphic functions Holomorphe Funktion Mehrere Variable Funktionentheorie |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=560166 |
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