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Complex Analysis: A Functional Analytic Approach

Complex Analysis: A Functional Analytic Approach

Paperback

Series: de Gruyter Textbook

CalculusGeneral Mathematics

Publisher Price: $70.99

ISBN10: 3110417235
ISBN13: 9783110417234
Publisher: de Gruyter
Published: Nov 23 2017
Pages: 347
Weight: 1.50
Height: 0.80 Width: 6.60 Depth: 9.40
Language: English

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.

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General Mathematics