Miniconference on Harmonic Analysis

Preface

In 1987, the Centre for Mathematical Analysis ran a Special Year on Harmonic Analysis and Operator Algebras.  Most of the activity involved was concentrated in that period from May to August, and in November and December; during this time the Centre was overrun with people with disparate interests, ranging through classical Harmonic Analysis, Representation Theory, Operator Algebras, Ergodic Theory, Number Theory, Non-commutative Topology, and Mathematical Physics; at the same time, the Centre’s usual program in Partial Differential Equations, Functional Analysis and Numerical Analysis was under way.  Space was a problem, but this had its positive aspects too, as persons with different interests, thrown together by fate in the same office, ended up chatting with each other.  Apart from informal discussions and regular and spontaneous seminars, two mini-conferences were held in the May to August period, in the (forlorn) hope that all the visitors would get a chance to speak at one or the other of these, if not both.  This is the result of the first of these mini-conferences.

Our thanks go to the Centre of Mathematical Analysis, all of those facilities were generously made available to us.  In particular, we thank Professor Neil Trudinger, the Director, for suggesting the Special Year and for his support during the organisation thereof, and Doctor John Hutchinson and Professor Leon Simon, who were particularly grateful to Mrs Marilyn Gray, who handled the administration of the Special Year cheerfully and efficiently, and to Mrs Dorothy Nash and Mrs Jill Smith who, together with Marilyn turned garbled manuscripts into nicely typed papers.  Finally, thanks to all the participants who also helped make the enterprise a success, both mathematically and otherwise.

 

 

Contents

Chapter Page no
1 - Non-Monomial representations of abelian groups with multipliers (PDF, 572KB)
LW Baggett, AL Carey, W Moran, R Ramsay
2 - Invariant differential oeprators in some lie groups (PDF, 840KB)
FD Battesti, AH Dooley
3 - An introduction to the abel transform (PDF, 1229KB)
RJ Beerends
4 - Inequalities for measures of sum sets (PDF, 534KB)
G Brown
5 - Jackson's theorem for compact connected lie groups (PDF, 351KB)
DI Cartwright, K Kucharski
6 - Oscillatory Integrals (PDF, 547KB)
M Cowling, S Disney
7 - A heat equation approach to boutet de monvel's index theorem for toeplitz operators (PDF, 1331KB)
E Getzler
8 - disintegration of measures according to the dimension and its relation with random coverings and multiplicative chaos (PDF, 687KB)
JP Kahane
9 - Fourier transorm associated with holomorphic discrete series (PDF, 474KB)
T Kawazoe
10 - Additive set functions of bounded phi-variation (PDF, 883KB)
I Kluvanek
11 - On the frobenius reciprocity theorem for square integrable representations of nonunimodular groups (PDF, 844KB)
RA Kunze
12 - Better good Lambda inequalities (PDF, 915KB)
DS Kurtz
13 - Hankel operators on the Paley-Wiener space in IRD (PDF, 538KB)
P Lizhong
14 - The Charactiersitc function of a uniformly continuous semigroup (PDF, 1126KB)
BW McEnnis
15 - Fourier Theory on Lipschitz curves (PDF, 944KB)
A McIntosh, Q Tao
16 - On the representation theory of Su (2,1) (PDF, 1126KB)
C Meaney
17 - Ergodic measures for the actions of dense subgroups (PDF, 608KB)
W Moran
18 - The lapace beltrami operator on unbounded homogeneous domains in C (n) (PDF, 631KB)
RC Penney
19 - Centrally trivial automorphisms on C*-Algebras (PDF, 526KB)
J Phillips
20 - A counterexample to localization for multiple fourier series (PDF, 442KB)
J Price, L Shepp
21 - Some uncertainty principles in abstract harmonic analysis (PDF, 429KB)
J Price, A Sitaram
22 - A duality theorem for crossed products for nonabelian groups (PDF, 1024KB)
I Raeburn
23 - Derivatives of invariant polynomials on a semisimple lie algebra (PDF, 1946KB)
RW Richardson
24 - Functional Calculi for the lapace operator in L(p) (IR) (PDF, 1126KB)
WJ Ricker
25 - Integration of Iie Algebras (PDF, 2355KB)
DW Robinson
26 - Homogeneous banach spaces of type C (PDF, 1024KB)
JA Ward
27 - Evolution Operators of Parabolic Equations in Continuous function space (PDF, 872KB)
A Yagi

Printed copy

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Volume

Volume 15

Date

17 Jun 1987 to 20 Jun 1987

Venue

Australian National University

Updated:  29 April 2017/Responsible Officer:  Director/Page Contact:  School Manager