Symposium on Several Complex Variables, Park City, Utah, 1970
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Symposium on Several Complex Variables, Park City, Utah, 1970
Edited by R. M. Brooks, University of Utah
Springer-Verlag Berlin· Heidelberg· New York 1971
ISBN Springer-Verlag Berlin . Heidelberg . New York ISBN 0-387-05370-0 Springer-Verlag New York . Heidelberg . Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin' Heidelberg 1971. Library of Congress Catalog Card Number 76-153464. Printed in Germany.
Offsetdruck: Julius Beltz, Weinheim/Bergstr.
PREFACE This volume contains articles based on talks given at the Symposium on Several Complex Variables held at Park City, Utah, March 30 - April 3, 1970, under the sponsorship of the University of Utah.
The papers herein represent a broad spectrum of mathematical
research (e.g., function algebras, sheaf theory, differential operators, manifolds) but are related by the fact that they are all related to some degree to the area of
complex variables.
On behalf of the organizing committee, I wish to thank the contributors for their cooperation and Springer-Verlag for their willingness to publish these
We also thank the
University of Utah for their generous support of the project. I wish to acknowledge responsibility for any mistakes the reader may find in the manuscript, since the authors did not have the opportunity to proofread their contributions. Finally, I wish to thank Joyce Kiser for her remarkable typing of the manuscript.
R. M. Brooks University of Utah
ORGANIZING COMMITTEE R. M. Brooks, University of Utah
E. A. Pedersen, University of Utah
H. Rossi, Brandeis University
J. L. Taylor, University of Utah
INVITED SPEAKERS F. T. Birtel, Tulane University Eugenio Calabi, University of Pennsylvania D. D. Clayton, Louisiana State University Michael Freeman, Rice University T. W. Gamelin, University of California, Los Angeles Reese Harvey, Rice University Eva Kallin, Brown University J. J. Kohn, Princeton University R. O. Kujala, Tulane University Andrew Markoe, University of Wisconsin L. Nirenberg, Courant Institute, New York University R. Remmert, University of Maryland (visiting) (unable to attend the conference) Hugo Rossi, Brandeis University Bernard Shiffman, Massachusetts Institute of Technology Yum-Tong Siu, University of Notre Dame D. C. Spencer, Princeton University Wilhelm Stoll, University of Notre Dame J. L. Taylor, University of Utah R. O. Wells, Jr., Rice University John Wermer, Brown University (unable to attend the conference)
TABLE OF CONTENTS
SOME ANALYTIC FUNCTION ALGEBRAS.. •••• ••••••••
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1
A LOCAL CHARACTERIZATION OF ANALYTIC STRUCTURE IN A COMMUTATIVE BANACH ALGEBR
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