CMA-AMSI symposium on asymptotic geometric analysis, harmonic analysis
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Preface
This volume contains the proceedings of the CMA-AMSI research symposium on Asymptotic Geometric Analysis, Harmonic Analysis and Related Topics, organized by Andrew Hassell, Alan McIntosh, Shahar Mendelson, Pierre Portal, and Fyodor Sukochev at Murramarang (NSW) in February 2006. The meeting was sponsored by the Centre for Mathematics and its Applications (Australian National University) and the Australian Mathematical Sciences Institute whose support is gratefully acknowledged.
The Symposium covered a variety of topics in functional, geometric, and harmonic analysis, and brought together experts, early career researchers, and doctoral students from Australia, Canada, Finland, France, Germany, Israel, and the USA. It is our hope that this volume reflects the lively research atmosphere of this conference, and we are glad to open it with a result of Ian Doust, Florence Lancien, and Gilles Lancien, which was essentially discovered during the symposium.
We also wish to express our appreciation to the participants, the authors who contributed to this volume, and the CMA support staff (Chris Wetherell and Annette Hugues) who made this symposium what it was.
Each article in this volume was peer refereed.
Content
| Chapter | Page | |
|---|---|---|
| 1 | Spectral theory for linear operators on L1 or C(K) spaces Ian Doust, Florence Lancien, Gilles Lancien | 1 |
| 2 | Vector-valued singular integrals, and the border between the one-parameter and the multi-parameter theories Tuomas Hytönen | 11 |
| 3 | Function theory in sectors and the analytic functional calculus for systems of operators Brian Jefferies | 42 |
| 4 | On an operator-valued T(1) theorem by Hytönen and Weis Cornelia Kaiser | 66 |
| 5 | A remark on the H∞-calculus Nigel Kalton | 81 |
| 6 | Wrapping Brownian motion and heat kernels on compact Lie groups David Maher | 91 |
| 7 | Remarks on the Rademacher-Menshov Theorem Christopher Meaney | 100 |
| 8 | Commutator estimates in the operator Lp-spaces Denis Potapov, Fyodor Sukochev | 111 |
| 9 | The atomic decomposition for tent spaces on spaces of homogeneous type Emmanuel Russ | 125 |
Copyright statement
First published in Australia 2007
© 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
Alan McIntosh and Pierre Portal
Centre for Mathematics and Its Applications, The Australian National University
CMA/AMSI Research Symposium "Asymptotic Geometric Analysis, Harmonic Analysis and Related Topics"
ISBN 0 7315 5206 7