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methods of the theory of functions of plex variables -(多复变函数论方法).pdf


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methods of the theory of functions of plex variables -(多复变函数论方法).pdf
文档介绍:
V ASILIY SERGEYEVICH VLADIMIROV
Methods of the Theory of Functions
of plex Variables
with a preface by
Academician N. N. Bogolyubov
translated by
SCRIPTA TECHNICA. INC.
edited by
LEON EHRENPREIS
Courant Institute of Mathematical Sciences
New York University
1111111
THE M.I. T. PRESS
Massachusetts Institute of Technology
Cambridge. Massachusetts. and London. England
Originally published under the title
METODY TEORII FUNKTSIY MNOGIKH
KOMPLEKSNYKH PEREMENNYKH
by
Nauka Press. Moscow. 1964
Copyright @ 1966 by
The Massachusetts Institute of Technology
All Rights Reserved. This book may not be reproduced. in whole
or in part. in any form (except by reviewers for the public press).
without written permission from the publishers.
Library of Congress Catalog Card Number: 66-28672
Printed in the United States of America
Preface
The present monograph of V.S. Vladimirov is devoted to a system•
atic exposition of the fundamentals of the theory of single sheeted
(schlicht) domains of holomorphy and its applications to quantum
field theory, to the theory of functions, and to differential equations
with constant coefficients.
In recent years, the theory offunctions of plex varia•
bles, which previously had not found much application in natural
science, unexpectedly found numerous and fruitful applications in
quantum field theory, especially in connection with questions re•
garding the basis of the so-called dispersion relations. The suc•
cesses achieved in quantum field theory by this route have in turn
had influence on the theory of functions of plex variables.
As it happened, a number of results and methods that were originally
found for the solutions of particular problems in quantum field theory
can be generalized to the theory of functions of plex
variables, enriching it with new and far-reaching theorems and
methods. This applies, for example, to the theorem on the "edge o 内容来自淘豆网www.taodocs.com转载请标明出处.
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