Miniconference on Harmonic Analysis and Operator Algebras

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.

Contents

Chapter Page no
1 - A transmutation property of the Generalized abel transform associated with the root system A2 (PDF, 248KB)
RJ Beerends
1
2 - On Some C*-Dynamical systems (PDF, 300KB)
Ola Bratteli
4
3 - A class of ergodic measures (PDF, 399KB)
Gavin Brown, AH Dooley
8
4 - Trigonometric sums and polynomial zeros (PDF, 344KB)
Gavin Brown, David C Wilson
15
5 - Representations of infinite dimensional groups and applications (PDF, 615KB)
AL Carey
21
6 - On the L1 behavior of eigenfunction expansions and singular integral operators (PDF, 2046KB)
Michael Christ, Christopher D Sogge
29
7 - Rigidity, Von Neumann Algebras and Semisimple groups (PDF, 812KB)
Michael Cowling
51
8 - Harmonic Analysis and Exceptional representations of semisimple groups (PDF, 2046KB)
KM Davis, JE Gilbert, RA Kunze
58
9 - Invariant differential operators in harmonic analsyis on real hyberbolic space (PDF, 1638KB)
KM Davis, JE Gilbert, RA Kunze
79
10 - Remarks on non-commutative banach function spaces (PDF, 201KB)
PG Dodds, B de Pagter
92
11 - normal subrelations of ergodic equivalence relations (PDF, 539KB)
J Feldmann, CE Sutherland, RJ Zimmer
95
12 - Integration of infinitesimally unitary representations (PDF, 882KB)
Roe Goodman
103
13 - Harmonic Analysis of the Quantum anonlinear Schrodinger Equation (PDF, 1638KB)
Eugene Gutkin
113
14 - A Qualitative uncertainty principle for locally compact abelian groups (PDF, 563KB)
Jeffrey A Hogan
133
15 - Fredholm modules associated to Bruhat-Tits building (PDF, 1331KB)
Pierre Julg, Alain Valette
143
16 - Irreducible representations that cannot be separated from the trivial representation (PDF, 451KB)
E Kaniuth
156
17 - A remark on the relative entropy (PDF, 540KB)
Satoshi Kawakami
161
18 - Singular integrals on bmo (PDF, 313KB)
Douglas S Kurtz
169
19 - Hankel operators on the paley-wiener space in disk (PDF, 657KB)
Peng Lizhong
173
20 - Induced representatins of crossed products by coactions (PDF, 1229KB)
Kevin Mansfield
181
21 - On the transference theorem of coifman and weiss (PDF, 649KB)
Christopher Meaney
197
22 - Discrepancy results for normal numbers (PDF, 594KB)
William Moran, CEM Pearce
203
23 - Lie group imbeddings of the fourier transform and a new family of uncertainty principles (PDF, 570KB)
David Mustard
211
24 - Piecewise linear functions and series expansions in terms of dirichlet and fejer kernels (PDF, 298KB)
Rodney Nillsen
223
25 - The minimal martin boundaries of a cartesian product of trees (PDF, 1946KB)
Massimo A Picardello, Peter Sjogren
226
26 - Spectral synthesis of orbits of compact groups (PDF, 1536KB)
Detlev Poguntke
247
27 - Supports and localization for multiple fourier series (PDF, 300KB)
John F Price
262
28 - Ideal structure of groupoid crossed product c*Algebras (PDF, 237KB)
Jean Renault, Bill Moran
267
29 - Applications of Analysis on Lipschitz manifolds (PDF, 1437KB)
Jonathan Rosenberg
269
30 - Clifford Matrices, Cauchy kowalewski extensions and analytic functionals (PDF, 1536KB)
John Ryan
284
31 - Strong Ergodicity and Quotients of Equivalance Relations (PDF, 839KB)
Klaus Schmidt
300
32 - Random walks on a discrete semigroup and Chebysheve polynomials (PDF, 413KB)
PM Soardi
312
33 - Classifying actions of groups on von neumann algebras (PDF, 854KB)
Colin E Sutherland
317
34 - The Boundary associated with a probability measure on a group (PDF, 1126KB)
G. Willis
329
35 - Orbit Equivalence lie groups, and foliations (PDF, 1126KB)
Robert J Zimmer
341

Printed copy

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Volume

Volume 16

Date

5 Aug 1987 to 8 Aug 1987

Venue

Australian National University

Updated:  22 November 2017/Responsible Officer:  Director/Page Contact:  School Manager