Complex Analysis : : A Functional Analytic Approach / / Friedrich Haslinger.
In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy‘s integral theorem general versions of Runge‘s approximation theorem and Mittag-Leffler‘s theorem are discussed. The fi rst part ends with an analytic characterization...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2017] ©2018 |
Argitaratze-urtea: | 2017 |
Hizkuntza: | English |
Saila: | De Gruyter Textbook
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Deskribapen fisikoa: | 1 online resource (IX, 338 p.) |
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(DE-B1597)450203 (OCoLC)1013729242 |
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Haslinger, Friedrich, author. aut http://id.loc.gov/vocabulary/relators/aut Complex Analysis : A Functional Analytic Approach / Friedrich Haslinger. Berlin ; Boston : De Gruyter, [2017] ©2018 1 online resource (IX, 338 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook Frontmatter -- Preface -- Contents -- 1. Complex numbers and functions -- 2. Cauchy’s Theorem and Cauchy’s formula -- 3. Analytic continuation -- 4. Construction and approximation of holomorphic functions -- 5. Harmonic functions -- 6. Several complex variables -- 7. Bergman spaces -- 8. The canonical solution operator to ∂̄ -- 9. Nuclear Fréchet spaces of holomorphic functions -- 10. The ∂̄-complex -- 11. The twisted ∂̄-complex and Schrödinger operators -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy‘s integral theorem general versions of Runge‘s approximation theorem and Mittag-Leffler‘s theorem are discussed. The fi rst part ends with an analytic characterization of simply connected domains. The second part is concerned with functional analytic methods: Fréchet and Hilbert spaces of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the inhomogeneous Cauchy-Riemann equations and the d-bar Neumann operator. ContentsComplex numbers and functionsCauchy’s Theorem and Cauchy’s formulaAnalytic continuationConstruction and approximation of holomorphic functionsHarmonic functionsSeveral complex variablesBergman spacesThe canonical solution operator to Nuclear Fréchet spaces of holomorphic functionsThe -complexThe twisted -complex and Schrödinger operators 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 30. Aug 2021) Mathematics Textbooks. Mathematics Textbooks Textbooks. MATHEMATICS / Complex Analysis. bisacsh Bergman kernel. Cauchy integral theorem. Complex analysis. analytic continuation. Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 9783110540550 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 9783110625264 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2017 9783110548204 ZDB-23-DMA EPUB 9783110426151 print 9783110417234 https://doi.org/10.1515/9783110417241 https://www.degruyter.com/isbn/9783110417241 Cover https://www.degruyter.com/cover/covers/9783110417241.jpg |
language |
English |
format |
eBook |
author |
Haslinger, Friedrich, Haslinger, Friedrich, |
spellingShingle |
Haslinger, Friedrich, Haslinger, Friedrich, Complex Analysis : A Functional Analytic Approach / De Gruyter Textbook Frontmatter -- Preface -- Contents -- 1. Complex numbers and functions -- 2. Cauchy’s Theorem and Cauchy’s formula -- 3. Analytic continuation -- 4. Construction and approximation of holomorphic functions -- 5. Harmonic functions -- 6. Several complex variables -- 7. Bergman spaces -- 8. The canonical solution operator to ∂̄ -- 9. Nuclear Fréchet spaces of holomorphic functions -- 10. The ∂̄-complex -- 11. The twisted ∂̄-complex and Schrödinger operators -- Bibliography -- Index |
author_facet |
Haslinger, Friedrich, Haslinger, Friedrich, |
author_variant |
f h fh f h fh |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Haslinger, Friedrich, |
title |
Complex Analysis : A Functional Analytic Approach / |
title_sub |
A Functional Analytic Approach / |
title_full |
Complex Analysis : A Functional Analytic Approach / Friedrich Haslinger. |
title_fullStr |
Complex Analysis : A Functional Analytic Approach / Friedrich Haslinger. |
title_full_unstemmed |
Complex Analysis : A Functional Analytic Approach / Friedrich Haslinger. |
title_auth |
Complex Analysis : A Functional Analytic Approach / |
title_alt |
Frontmatter -- Preface -- Contents -- 1. Complex numbers and functions -- 2. Cauchy’s Theorem and Cauchy’s formula -- 3. Analytic continuation -- 4. Construction and approximation of holomorphic functions -- 5. Harmonic functions -- 6. Several complex variables -- 7. Bergman spaces -- 8. The canonical solution operator to ∂̄ -- 9. Nuclear Fréchet spaces of holomorphic functions -- 10. The ∂̄-complex -- 11. The twisted ∂̄-complex and Schrödinger operators -- Bibliography -- Index |
title_new |
Complex Analysis : |
title_sort |
complex analysis : a functional analytic approach / |
series |
De Gruyter Textbook |
series2 |
De Gruyter Textbook |
publisher |
De Gruyter, |
publishDate |
2017 |
physical |
1 online resource (IX, 338 p.) |
contents |
Frontmatter -- Preface -- Contents -- 1. Complex numbers and functions -- 2. Cauchy’s Theorem and Cauchy’s formula -- 3. Analytic continuation -- 4. Construction and approximation of holomorphic functions -- 5. Harmonic functions -- 6. Several complex variables -- 7. Bergman spaces -- 8. The canonical solution operator to ∂̄ -- 9. Nuclear Fréchet spaces of holomorphic functions -- 10. The ∂̄-complex -- 11. The twisted ∂̄-complex and Schrödinger operators -- Bibliography -- Index |
isbn |
9783110417241 9783110719550 9783110540550 9783110625264 9783110548204 9783110426151 9783110417234 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA39 |
callnumber-sort |
QA 239.3 H375 42018 |
genre_facet |
Textbooks. |
url |
https://doi.org/10.1515/9783110417241 https://www.degruyter.com/isbn/9783110417241 https://www.degruyter.com/cover/covers/9783110417241.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510 |
dewey-sort |
3510 |
dewey-raw |
510 |
dewey-search |
510 |
doi_str_mv |
10.1515/9783110417241 |
oclc_num |
1013729242 |
work_keys_str_mv |
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status_str |
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ids_txt_mv |
(DE-B1597)450203 (OCoLC)1013729242 |
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Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2017 |
is_hierarchy_title |
Complex Analysis : A Functional Analytic Approach / |
container_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 |
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