Description: Methods of the Theory of Functions of Many Complex Variables, Paperback by Vladimirov, Vasiliy Sergeyevich; Ehrenpreis, Leon (EDT), ISBN 0486458121, ISBN-13 9780486458120, Brand New, Free shipping in the US This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables.
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Book Title: Methods of the Theory of Functions of Many Complex Variables
Number of Pages: 353 Pages
Publication Name: Methods of the Theory of Functions of Many Complex Variables
Language: English
Publisher: Dover Publications, Incorporated
Subject: Calculus, Complex Analysis
Item Height: 0.8 in
Publication Year: 2007
Type: Textbook
Item Weight: 13.6 Oz
Subject Area: Mathematics
Author: Vasiliy Sergeyevich Vladimirov
Item Length: 8.5 in
Item Width: 5.5 in
Series: Dover Books on Mathematics Ser.
Format: Perfect
