Methods of the Theory of Functions of Many Complex Variables

Vladimirov, Vasiliy Sergeyevich

ISBN 10: 0486458121 / ISBN 13: 9780486458120

Verlag: Dover Publications, 2007

Beschreibung

Dover Books On Mathematics; 8.4 X 5.3 X 0.8 inches; 384 pages.

Bestandsnummer des Verkäufers 1014441

Bibliografische Details

• Titel: Methods of the Theory of Functions of Many Complex Variables
• Verlag: Dover Publications
• Erscheinungsjahr: 2007
• Sprache: Englisch
• ISBN-10: 0486458121
• ISBN-13: 9780486458120
• Einband: Paperback
• Zustand: Very Good-
• Zustand des Schutzumschlags: No Dust Jacket

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.