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Complex Analysis : a Functional Analytic Approach.
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 ch...
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Berlin/Boston :
De Gruyter,
2017.
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| Collection: | De Gruyter Textbook
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- 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