Complex Analysis : : A Functional Analytic Approach /

Complex Analysis : : A Functional Analytic Approach / / Friedrich Haslinger.

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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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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
VerfasserIn:
Haslinger, Friedrich,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2017]
©2018
Year of Publication:2017
Language:English
Series:De Gruyter Textbook
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

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