Under the guidance and inspiration of Dr. Ajit Iqbal Singh, an
International Conference on Harmonie Analysis took place at the
Uni- versity of Delhi, India, from December 18 to 22, 1995.
Twenty-one dis- tinguished mathematicians from around the world, as
weIl as many from India, participated in this successful and
stimulating conference. An underlying theme of the conference was
hypergroups, the the- ory of wh ich has developed and been found
useful in fields as diverse as special functions, differential
equations, probability theory, representa- tion theory, measure
theory, Hopf algebras and quantum groups. Some other areas of
emphasis that emerged were harmonie analysis of analytic functions,
ergo die theory and wavelets. This book includes most of the
proceedings of this conference. I chaired the Editorial Board for
this publication; the other members were J. M. Anderson (University
College London), G. L. Litvinov (Centre for Optimization and
Mathematical Modeling, Institute for New Technolo- gies, Moscow),
Mrs. A. I. Singh (University ofDelhi, India), V. S. Sunder
(Institute of Mathematical Sciences, C.LT., Madras, India), and N.
J. Wildberger (University of New South Wales, Australia). I
appreciate all the help provided by these editors as weIl as the
help and cooperation of Our authors and referees of their papers. I
especially appreciate techni- cial assistance and advice from Alan
L. Schwartz (University of Missouri - St. Louis, USA) and Martin E.
Walter (University of Colorado, USA). Finally, I thank Our editor,
Ann Kostant, for her help and encouragement during this project.
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