T. Aoki· H. Majima- Y. Takei· N. Tose (Eds.) Algebraic Analysis of Differential Equations from Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai ~ Springer Editors Takashi Aoki Department of Mathematics Kinki University Higashi-Osaka 577-8502, Japan e-mail:
[email protected] Hideyuki Majima Department of Mathematics Ochanomizu University Tokyo 112-8610, Japan e-mail:
[email protected] Yoshitsugu Takei Research Institute for Mathematical Sciences Kyoto University Kyoto 606-8502, Japan e-mail:
[email protected] Nobuyuki Tose Faculty of Economics Keio University Yokohama 223-8521, Japan e-mail:
[email protected] Library of Congress Control Number: 2007939560 ISBN 978-4-431-73239-6 Springer Tokyo Berlin Heidelberg New York Springer is a part of Springer Science+Business Media springer.com c Springer 2008 This work is subject to copyright. All rights are reserved, whether the whole or a part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Camera-ready copy prepared from the authors’ LATEXfiles. Printed and bound by Shinano Co. Ltd., Japan. SPIN: 12081080 Printed on acid-free paper Dedicated to Professor Takahiro Kawai on the Occasion of His Sixtieth Birthday Preface This is a collection of articles on algebraic analysis of differential equations and related topics.