Miniconference on Harmonic Analysis and Operator Algebras
schedule Publication date
label Publication type
Conference paper

Authors

About

Price: AUD $27.50
Volume: 16
Venue: Australian National University

Preface

This volume contains the proceedings of the conferences held in the second half of the Special Year in Harmonic Analysis and Operator Algebras at the Centre for Mathematical Analysis in 1987.  There were in fact two conferences, the first held in August and the second somewhat smaller gathering in December.  There was a wide variety of participants from many different countries and areas of the subject.  Papers ranged from classical Fourier analysis in one and several variables through the theory of representations on abstract as well as Lie groups to the K-theory of C*-algebras.

In addition to these intensive sessions there were regular seminars and informal discussions.

The editors would like to thank the Centre for Mathematical Analysis for putting on this Special Year, and in particular the Director, Professor Neil Trudinger, for proposing the idea and for the generous support of the Special Year.  Our thanks go also to Dr John Hutchinson and Professor Leon Simon who were Acting Directors for periods of 1987.  The organisation of the Year would have been beyond the capabilities of the editors were it not for the assistance of the administrative staff of the Centre.  Our warm thanks go in particular to Mrs Marilyn Gray who by her persistent harrying of us to make decisions and by her efficiency in carrying them out made the Special Year possible.  She was ably assisted by Mrs Dorothy Nash and Mrs Jillian Smith; our thanks go to them also.  Finally we wish to thank all the participants for their patience and presence and contributions to the mathematical life in Canberra, and on behalf of the restaurateurs of Canberra for keeping them in business.

Content

ChapterPage
1A transmutation property of the Generalized abel transform associated with the root system A2
RJ Beerends		1
2On Some C*-Dynamical systems
Ola Bratteli		4
3A class of ergodic measures
Gavin Brown, AH Dooley		8
4Trigonometric sums and polynomial zeros
Gavin Brown, David C Wilson		15
5Representations of infinite dimensional groups and applications
AL Carey		21
6On the L1 behavior of eigenfunction expansions and singular integral operators
Michael Christ, Christopher D Sogge		29
7Rigidity, Von Neumann Algebras and Semisimple groups
Michael Cowling		51
8Harmonic Analysis and Exceptional representations of semisimple groups
KM Davis, JE Gilbert, RA Kunze		58
9Invariant differential operators in harmonic analsyis on real hyberbolic space
KM Davis, JE Gilbert, RA Kunze		79
10Remarks on non-commutative banach function spaces
PG Dodds, B de Pagter		92
11normal subrelations of ergodic equivalence relations
J Feldmann, CE Sutherland, RJ Zimmer		95
12Integration of infinitesimally unitary representations
Roe Goodman		103
13Harmonic Analysis of the Quantum anonlinear Schrodinger Equation
Eugene Gutkin		113
14A Qualitative uncertainty principle for locally compact abelian groups
Jeffrey A Hogan		133
15Fredholm modules associated to Bruhat-Tits building
Pierre Julg, Alain Valette		143
16Irreducible representations that cannot be separated from the trivial representation
E Kaniuth		156
17A remark on the relative entropy
Satoshi Kawakami		161
18Hankel operators on the paley-wiener space in disk
Peng Lizhong		173
19Induced representatins of crossed products by coactions
Kevin Mansfield		181
20On the transference theorem of coifman and weiss
Christopher Meaney		197
21Discrepancy results for normal numbers
William Moran, CEM Pearce		203
22Lie group imbeddings of the fourier transform and a new family of uncertainty principles
David Mustard		211
23Piecewise linear functions and series expansions in terms of dirichlet and fejer kernels
Rodney Nillsen		223
24The minimal martin boundaries of a cartesian product of trees
Massimo A Picardello, Peter Sjogren		226
25Spectral synthesis of orbits of compact groups
Detlev Poguntke		247
26Supports and localization for multiple fourier series
John F Price		262
27Ideal structure of groupoid crossed product c*Algebras
Jean Renault, Bill Moran		267
28Applications of Analysis on Lipschitz manifolds
Jonathan Rosenberg		269
29Clifford Matrices, Cauchy kowalewski extensions and analytic functionals
John Ryan		284
30Strong Ergodicity and Quotients of Equivalance Relations
Klaus Schmidt		300
31Random walks on a discrete semigroup and Chebysheve polynomials
PM Soardi		312
32Classifying actions of groups on von neumann algebras
Colin E Sutherland		317
33Singular integrals on bmo
Douglas S Kurtz		169
34The Boundary associated with a probability measure on a group
G. Willis		329
35Orbit Equivalence lie groups, and foliations
Robert J Zimmer		341

Copyright statement

First published in Australia 1987

© Centre for Mathematical Analysis,
The Australian National University
CANBERRA ACT 0200
AUSTRALIA

This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

M Cowling, C Meaney, W Moran

Miniconference on Harmonic Analysis and Operator Algebras
Canberra 5-8 August and 2-3 December 1987

ISBN 0 86784 519 8