Hyperfunctions and Pseudo-Differential Equations Proceedings of a Co
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Hyperfunctions and Pseudo-Differential Equations Proceedings of a Conference at Katata, 1971
Edited by Hikosaburo Komatsu, University of Tokyo, Tokyo/Japan
Springer-Verlag Berlin. Heidelberg New York 1973
A M S S u b j e c t Classifications 1970): 35 A 05, 35 A 20, 35 D 05, 35 D 10, 35 G 05, 35 N t0, 35 S 05, 46F 15
I S B N 3-540-06218-1 Springer-Verlag B e r l i n - H e i d e l b e r g " N e w Y o r k I S B N 0-387-06218-1 Springer-Verlag N e w Y o r k • H e i d e l b e r g • B e r l i n
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 1973. Library of Congress Catalog Card Number 72-88782. Printed in Germany. Offsetdruck: Jutius Beltz, Hemsbach/Bergstr.
Dedicated to the memory of the late professor Andre MARTINEAU, who had originally planned to attend this conference. appreciated
the importance of hyperfunctions
He
for the first
time and has made the most profound contributions to the theory of hyperfunctions.
LIST OF PARTICIPANTS Y. AKIZUKI
(Gunma University)
H. HIRONAKA
(Harvard University)
A. KANEKO
(University of Tokyo)
M. KASHIWARA T. KAWAI
(RIMS, Kyoto University)
(RIMS, Kyoto University)
H. K O ~ T S U
(University of Tokyo)
T. KOTAKE
(Tohoku University)
J. LERAY
(Coll@ge de France)
M. MATSUMIfRA
(Fac. Eng., Kyoto University)
S. MATSUURA
(RIMS, Kyoto University)
T. MATUMOTO
(Kyoto University)
T. MIWA
(University of Tokyo)
S. MIZOHATA
(Kyoto University)
M. MORIMOTO
(University of Tokyo)
Y. NAMIKAWA
(Nagoya University)
I. NARUKI Y. OHYA
(RIMS, Kyoto University) (Fac° Eng., Kyoto University)
T. OSHIMA
(University of Tokyo)
H. SATO
(University of Tokyo)
M. SATO
(RIMS, Kyoto University)
P. SCHAPIRA T. SHIROTA H. SUZUKI M. YAMAGUTI
(Universit~ de Paris) (Hokkaido University) (Tokyo University of Education) (Kyoto University)
TABLE
PART
OF CONTENTS
I
Preface
Part
CONFERENCE
I . . . . . . . . . . . . . . . . . . . . . . . .
AT K A T A T A
H i k o s a b u r o KONLATSU: An i n t r o d u c t i o n to the theory of hyperfunctions . . . . . . . . . . . . . . . . . . . . . . . . . . Mitsuo
MORiMOTO:
Edge
of the wedge
theorem
3
and h y p e r f u n c t i o n
.
41
J e a n - M i c h e l BONY et Pierre SCHAPIRA: Solutions h y p e r f o n c t i o n s du probl@me de Cauehy . . . . . . . . . . . . . . . .
82
T a k a h i r o KAWAI: On the global existence of real analytic solutions of linear d i f f e r e n t i a l equations . . . . . . . . .
99
A k i r a KANEK0: of linear CONFERENCE
F u n d a m e n t a l principle and e x t e n s i o n of solutions d i f f e r e n t i a l equations w i
