Complex Analysis - A Functional Analytic Approach (Paperback)

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: Frechet 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 Frechet spaces of holomorphic functions The -complex The twisted -complex and Schroedinger operators

General

Imprint:	De Gruyter
Country of origin:	Germany
Series:	De Gruyter Textbook
Release date:	November 2017
First published:	2018
Authors:	Friedrich Haslinger
Dimensions:	240 x 170mm (L x W)
Format:	Paperback - Paperback (DE)
Pages:	347
ISBN-13:	978-3-11-041723-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Promotions
LSN:	3-11-041723-5
Barcode:	9783110417234

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