Methods of the Theory of Functions of Many Complex Variables

Methods of the Theory of Functions of Many Complex Variables

By: Vasiliy Sergeyevich Vladimirov

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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.

Reprint of the MIT Press, Cambridge, Massachusetts, 1996 edition.
AvailabilityOut of Stock
ISBN 100486458121
ISBN 139780486458120
Author/EditorVasiliy Sergeyevich Vladimirov
Page Count384
Dimensions5 3/8 x 8 1/2

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