Description: 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. Contents Complex numbers and functions Cauchy's Theorem and Cauchy's formula Analytic continuation Construction and approximation of holomorphic functions Harmonic functions Several complex variables Bergman spaces The canonical solution operator to Nuclear Fréchet spaces of holomorphic functions The -complex The twisted -complex and Schrödinger operators Friedrich Haslinger, University of Vienna, Austria.
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EAN: 9783110417234
UPC: 9783110417234
ISBN: 9783110417234
MPN: N/A
Book Title: Complex Analysis: A Functional Analytic Approach (
Item Length: 23.9 cm
Item Height: 240 mm
Item Width: 170 mm
Author: Friedrich Haslinger
Publication Name: Complex Analysis: a Functional Analytic Approach
Format: Paperback
Language: English
Publisher: De Gruyter
Subject: Mathematics
Publication Year: 2017
Type: Textbook
Item Weight: 659 g
Number of Pages: 347 Pages
