文档介绍：Steven G. Krantz
Geometric Function Theory
Explorations plex Analysis
Birkhauser¨
Boston • Basel • Berlin
Steven G. Krantz
Washington University
Department of Mathematics
St. Louis, MO 63130
.
e-mail to: ******@
.edu/˜sk/
Cover design by Mary Burgess.
Mathematics Subject Classicification (2000): 30Axx, 30Bxx, 30Cxx, 30Dxx, 30Exx, 30Fxx, 30H05, 32Axx,
32Bxx, 32Dxx, 32Fxx, 31Axx, 35N15
Library of Congress Cataloging-in-Publication Data
Krantz, Steven G. (Steven e), 1951-
Geometric function theory : explorations plex analysis / Steven G. Krantz.
p. cm. –(Cornerstones)
Includes bibliographical references and index.
ISBN 0-8176-4339-7 (alk. paper)
1. Geometric function theory. 2. Functions plex variables. I. Title. II.
Cornerstones (Birkhauser)¨
2005
515’.9–dc22 2005050071
ISBN-10 0-8176-4339-7 eISBN 0-8176-4440-7 Printed on acid-free paper.
ISBN-13 978-0-8176-4339-3
c 2006 Birkhauser¨ Boston
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Printed in the United States of America. (TXQ/MP)
987654321
To the memory of Don Spencer
Contents
Preface ........................................................ xi
Part I Classical Function Theory
Overview ......................................