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 |
Year of Publication: | 2017 |
Language: | English |
Series: | De Gruyter Textbook
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Online Access: | |
Physical Description: | 1 online resource (IX, 338 p.) |
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Table of 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