International conference on harmonic analysis
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Status: Out of stock
Price: AUD $33.00
Volume: 41
Venue: Macquarie University, Sydney Australia

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