International conference on harmonic analysis
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About
This volume contains the proceedings of the International Conference on Harmonic Analysis and Related Topics held at Macquarie University, Sydney, from January 14–18, 2002. The conference celebrated the many significant achievements and contributions to mathematics of Professor Alan G. R. McIntosh, on the occasion of his sixtieth birthday. A large number of the speakers were his mathematical protégés and co-authors, and all expressed their gratitude to Alan for the way he had influenced or nurtured their careers.
The conference brought together researchers working in harmonic and functional analysis, linear and non-linear partial differential equations, functional calculus and operator theory, and included researchers from North America, Europe and Asia as well as Australia.
We gratefully acknowledge the support of the contributors to this volume and the sponsors of the conference, the Centre for Mathematics and its Applications at ANU and the Department of Mathematics and the Division of Information and Communication Sciences at Macquarie University. Our thanks also go to Dr Chris Wetherell for his editorial assistance in preparing this volume. We especially thank Alan McIntosh for his participation. A short synopsis of Alan’s career, and a full list of his publications to date are included in this volume.
Contributions for the proceedings were invited from all participants. All papers received were carefully refereed by peer referees.
Content
| Chapter | Page | |
|---|---|---|
| 1 | On a uniform approach to singular integral operators Sergei Ajiev | 1 |
| 2 | Almost periodic behaviour of unbounded solutions of differential equations Bolis Basit, Alan Pryde | 17 |
| 3 | Gaussian upper bounds for heat kernels of a class of nondivergence operators Xuan Thinh Duong, El Maati Ouhabaz | 35 |
| 4 | Weak type (1,1) estimates of maximal truncated singular operators Xuan Thinh Duong, Lixin Yan | 46 |
| 5 | L2 bounds for normal derivatives of Dirichlet eigenfunctions Andrew Hassell, Terence Tao | 57 |
| 6 | A symmetric functional calculus for noncommuting systems of sectorial operators Brian Jefferies | 68 |
| 7 | Similarites of omega-accretive operators Christian Le Merdy | 84 |
| 8 | Jacobians on Lipschitz domains of R2 Zengjian Lou | 96 |
| 9 | Divergent sums of spherical harmonics Christopher Meaney | 110 |
| 10 | Derivation of monogenic functions and applications Tao Qian | 118 |
| 11 | Asymptotics of semigroup kernels Tom ter Elst, Derek Robinson | 128 |
| 12 | The T(b) theorem and its variants Terence Tao | 143 |
| 13 | Separation of gradient Young measures and the BMO Kewei Zhang | 161 |
Copyright statement
First published in Australia 2003
© Centre for Mathematics and its Applications
Mathematical Sciences Institute
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.
Edited by
Xuan Thinh Duong
Department of Mathematics, Macquarie University
Alan Pryde
School of Mathematical Sciences, Monash University
International Conference on Harmonic Analysis and Related Topics
ISBN 0 7315 5205 9