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 number
1 - Inequalities for measures of sum sets (pdf 533.74 KB)
G Brown
2 - Better good Lambda inequalities (pdf 915.42 KB)
DS Kurtz
3 - A counterexample to localization for multiple fourier series (pdf 442.49 KB)
J Price, L Shepp
4 - Hankel operators on the Paley-Wiener space in IRD (pdf 538.31 KB)
P Lizhong
5 - Jackson's theorem for compact connected lie groups (pdf 351.48 KB)
DI Cartwright, K Kucharski
6 - The Charactiersitc function of a uniformly continuous semigroup (pdf 1.13 MB)
BW McEnnis
7 - Some uncertainty principles in abstract harmonic analysis (pdf 428.84 KB)
J Price, A Sitaram
8 - Fourier Theory on Lipschitz curves (pdf 943.86 KB)
A McIntosh, Q Tao
9 - Oscillatory Integrals (pdf 573.85 KB)
M Cowling, S Disney
10 - On the representation theory of Su (2,1) (pdf 1.11 MB)
C Meaney
11 - A duality theorem for crossed products for nonabelian groups (pdf 1.03 MB)
I Raeburn
12 - Non-Monomial representations of abelian groups with multipliers (pdf 571.91 KB)
LW Baggett, AL Carey, W Moran, R Ramsay
13 - A heat equation approach to boutet de monvel's index theorem for toeplitz operators (pdf 1.33 MB)
E Getzler
14 - Ergodic measures for the actions of dense subgroups (pdf 718.79 KB)
W Moran
15 - Derivatives of invariant polynomials on a semisimple lie algebra (pdf 1.89 MB)
RW Richardson
16 - disintegration of measures according to the dimension and its relation with random coverings and multiplicative chaos (pdf 686.79 KB)
JP Kahane
17 - Functional Calculi for the lapace operator in L(p) (IR) (pdf 1.11 MB)
WJ Ricker
18 - Fourier transorm associated with holomorphic discrete series (pdf 746.56 KB)
T Kawazoe
19 - Integration of Iie Algebras (pdf 2.34 MB)
DW Robinson
20 - Invariant differential oeprators in some lie groups (pdf 839.67 KB)
FD Battesti, AH Dooley
21 - Additive set functions of bounded phi-variation (pdf 883.3 KB)
I Kluvanek
22 - The lapace beltrami operator on unbounded homogeneous domains in C (n) (pdf 630.52 KB)
RC Penney
23 - Homogeneous banach spaces of type C (pdf 1 MB)
JA Ward
24 - An introduction to the abel transform (pdf 1.17 MB)
RJ Beerends
25 - On the frobenius reciprocity theorem for square integrable representations of nonunimodular groups (pdf 843.65 KB)
RA Kunze
26 - Centrally trivial automorphisms on C*-Algebras (pdf 735.86 KB)
J Phillips
27 - Evolution Operators of Parabolic Equations in Continuous function space (pdf 871.72 KB)
A Yagi