CMA-AMSI symposium on asymptotic geometric analysis, harmonic analysis

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.

Contents

Chapter Page number
1 - Spectral theory for linear operators on L1 or C(K) spaces (pdf 379.49 KB)
Ian Doust, Florence Lancien, Gilles Lancien 		1
2 - Vector-valued singular integrals, and the border between the one-parameter and the multi-parameter theories (pdf 734.44 KB)
Tuomas Hytönen 		11
3 - Function theory in sectors and the analytic functional calculus for systems of operators (pdf 633.76 KB)
Brian Jefferies 		42
4 - On an operator-valued T(1) theorem by Hytönen and Weis (pdf 467.89 KB)
Cornelia Kaiser 		66
5 - A remark on the H∞-calculus (pdf 388.19 KB)
Nigel Kalton 		81
6 - Wrapping Brownian motion and heat kernels on compact Lie groups (pdf 417.84 KB)
David Maher 		91
7 - Remarks on the Rademacher-Menshov Theorem (pdf 382.11 KB)
Christopher Meaney 		100
8 - Commutator estimates in the operator Lp-spaces (pdf 508.43 KB)
Denis Potapov, Fyodor Sukochev 		111
9 - The atomic decomposition for tent spaces on spaces of homogeneous type (pdf 386.84 KB)
Emmanuel Russ 		125
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Volume

42

Date

21–24 February 2006

Venue

Murramarang, New South Wales, Australia

Copyright

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