Functional Analysis and its Applications International Conference, M
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Functional Analysis and its Applications International Conference, Madras, 1973
Edited by H. G. Garnir, K R. Unni and J. H. Wi lliamson
Springer-Verlag Berlin· Heidelberg· New York 1974
H. G. Garnir Universite de Liege/Belgium
K. R. Unni Matscience, Mad ras/lnd ia
J. H. Williamson University of York/ England
Library of Congress Cataloging in Publicalion Data
Main entry under title: Functional analysis and i ts applications. (Lecture notes in mathemat ics , 399) 1. Functional an alysis --Congress es . I. Garnir, ed. Henr j G., ed. II. Unni , K. R., 1933 ed . III. Williamson, Jo~~ Hunter, 1926IV. Series : Lecture notes in mathematics (Berlin) 399. 74-13998 Q)\.3 .L28 no~ 399 . [Q)\.320) 510 ' .8s [515 '. '7]
AMS Subject Classifications (1970): 46-XX ISBN 3-540-06869-4 Springer-Verlag Berlin' Heidelberg· New York ISBN 0-387-06869-4 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, specifi cally 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 1974. Offsetdruck: Julius Beltz, Hemsbach/Bergstr.
This volume is dedicated to Professor ALLADI RAMAKRISHNAN, Founder-Director of MATSCIENCE, The Institute of Mathematical Sciences, Madras, who has completed twenty-five years of active research in the realm of mathematical sciences.
PRE F ACE This International Confer ence on Functional Analysis was held at Madras from J anuary 1 to January 7, 1973 on the occasion of the Eleventh Anniversary of Matscience, The Institute of Mathematical SCiences, Madras. Functional analysis is not only a very important branch of pure mathematics but perhaps the most fundamental for various applications.
It is also a subject in which the members of
Matscience have actively contributed. In this conference, the emphasis was made on different aspects of Functional AnalYSiS, namely Topological Vector Spaces, Harmonic Analysis, Approximation Theory and Partial Differential EquatiOns. This meeting was unique in the sense that it was the biggest international conference in pure mathematics so far held in India.
There were more than 80 participants including 50
eminent mathematicians from more than 20 countries outSide India. There were one hour invited lectures, half hour invited lectures and ten minutes communications.
In addition to the papers presen-
ted at the conference, this volume also contains three papers submitted in writing to the conference by the authors who could not participate at the last minute. This conference was inaugurated by the Patron of the Institute, Hon'ble Sri C.Subramaniam, Minister of Science and TeChnology, Government of India, who is also the founding fathe
