p-adic Analysis Proceedings of the International Conference held in
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1454 F: Baldassarri S. Bosch B. Dwork (Eds.)
p-adic Analysis Proceedings of the International Conference held in Trento, Italy, May 29-June 2, 1989
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Editors
Francesco Baldassarri Dipartimento di Matematica Pura e Applicata Universita di Padova Via Belzoni 7, 35131 Padova, Italy Siegfried Bosch Mathematisches Institut der Universitat Einsteinstr. 62,4400 Munster, Federal Republic of Germany Bernard Dwork Department of Mathematics, Princeton University Princeton, N.J. 08544, USA
Mathematics Subject Classification (1980): 12Jxx, 14Fxx, 12Hxx, 46P05 ISBN 3-540-53477-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-53477-6 Springer-Verlag New York Berlin Heidelberg
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INTRODUCTION
The present volume contains the Proceedings of the Congress on «p-adic Analysis» held at Trento from May 28 to June 3,1989. The idea of organizing a meeting on this subject in Italy was first promoted by Philippe Robba, whose visits to Italy were always welcomed by his Italian colleagues for both the warmth and the illumination which he brought with him. He died prematurely on October 12, 1988, leaving a profound sense of loss in the world of p-adic analysis. We believe we have expressed the feelings of that whole community by dedicating this Meeting to him. At the opening of the Conference, Elhanan Motzkin commemorated Robba's exceptional character in a touching reminiscence, that will appear in the Seminars of the Groupe d'Etude d' Analyse Ultrametrique, of which Robba was one of the founders. The conference was organized by the Centro Internazionale per la Ricerca Matematica CCIRM), of Trento, and was also sponsored by the Dipartimento di Matematica Pura e Applicata of the University of Padova, We are grateful to both these institutions. We wish to express our gratitude in particular to Mr. Augusto Micheletti for his indefatigable efforts on behalf of the conference.
F. Baldassarri, S. Bosch, B. Dwork
Phil ippe Robba Mar c h 18,
1941 -
October 12,
1988
CONTENTS
B. Dwork - Work of Philippe Robba
A. Adolphson, S. Sperber
1
p-Adic estimates for exponential sums
Y. Andre - p-Adic Betti lattices J. Araujo, J. Martinez-Maurica
23
The nonarchimedean Banach-Stone theorem
P. Berthelot - Cohomologie rigide et
11
des -u-modul
