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Complex Analysis

By Friedrich Haslinger

Complex Analysis Mathematics

Complex Analysis

0 - Used - good
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
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
348
Release Date:
2017-11-23
Publication Date:
2017-11-23
Publisher:
De Gruyter
Languages:
Original: English
ISBN10:
3110417235
ISBN13:
9783110417234
GPSR Manufacturer Reference:
[email protected]
Weight:
592 g
Height:
170 cm
Width:
240 cm
Thickness:
19 cm
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