CMA/AMSI Research Symposium "Asymptotic Geometric Analysis, Harmonic Analysis and Related Topics"

Murramarang NSW 2006

Volume 42 in the Proceedings of the Centre for Mathematics and its Applications

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.

Alan McIntosh and Pierre Portal
(Editors)

Contents

(all articles in PDF)

Preface and Poster (1.7 MB)	i
Spectral theory for linear operators on L1 or C(K) spaces (380 KB) Ian Doust, Florence Lancien, and Gilles Lancien	1
Vector-valued singular integrals, and the border between the one-parameter and the multi-parameter theories (736 KB) Tuomas P. Hytönen	11
Function theory in sectors and the analytic functional calculus for systems of operators (636 KB) Brian Jefferies	42
On an operator-valued T(1) theorem by Hytönen and Weis (468 KB) Cornelia Kaiser	66
A remark on the $H^{\infty}$-calculus (392 KB) Nigel J. Kalton	81
Wrapping Brownian motion and heat kernels on compact Lie groups (420 KB) David Maher	91
Remarks on the Rademacher-Menshov Theorem (384 KB) Christopher Meaney	100
Commutator estimates in the operator Lp-spaces. (512 KB) Denis Potapov and Fyodor Sukochev	111
The atomic decomposition for tent spaces on spaces of homogeneous type (388 KB) Emmanuel Russ	125
Conference photo (1.4 MB)	136

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