AMSI International Conference on Harmonic Analysis and Applications
Publication type
Authors
About
Preface
The AMSI International Conference in Harmonic Analysis and Applications was held at Macquarie University, in Sydney, from 7 to 11 February 2011. The topics presented included analysis on Lie Groups, functions spaces, singular integrals, applications to partial differential equations and image processing, and wavelets.
This conference brought together leading international and Australian researchers, as well as young Australian researchers and PhD students, in the field of Harmonic Analysis and related topics for the dissemination of the most recent developments in the field, and for discussions on future directions. The intention was to display the breadth and depth of recent work in Harmonic Analysis, to reinforce existing collaboration, and to forge new links.
As organisers of the conference, we are grateful to the conference participants and speakers, many of whom travelled large distances for their contributions. Financial support for the conferences was provided by the AMSI and the Department of Mathematics at Macquarie University. As editors of this volume, we would also like to thank the Centre for Mathematics and its Applications in Canberra for help in preparing these proceedings. The smooth running of the conference would not have been possible without the organisational skills of Christine Hale of the Department of Mathematics at Macquarie University.
This volume contains proceedings of the conference. Each article in this volume has been peer referred. We thank all the authors for their excellent contributions and the referees for their attention to detail.
Content
| Chapter | Page | |
|---|---|---|
| 1 | Quadratic estimates for pertubed Dirac type operators on doubling measure metric spaces Lashi Bandara | 1 |
| 2 | Boundedness of maximal operators and maximal commutators on non-homogeneous spaces The Anh Bui | 22 |
| 3 | Boundedness of maximal functions on non-doubling manifolds with ends Xuan Thinh Duong, Ji Li, Adam Sikora | 37 |
| 4 | Translation-Invariant Clifford Operators Jeff Hogan, Andrew J. Morris | 48 |
| 5 | Tight frames and rotations: sharp bounds on eigenvalues of the Laplacian R. S. Laugesen | 63 |
| 6 | On the regularity and rigidity theorems and problems for the solutions of some class of the degenerate elliptic partial differential equations Song-Ying Li | 83 |
| 7 | Riesz transforms of some parabolic operators E. M. Ouhabaz, C. Spina | 115 |
| 8 | Uniqueness properties of diffusion processes Derek W. Robinson | 124 |
| 9 | Conjugation weights and weighted convolution algebras on totally disconnected, locally compact groups George Willis | 136 |
Copyright statement
First published in Australia 2013
© 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 Duong (Macquarie University)
Jeff Hogan (University of Newcastle)
Chris Meaney (Macquarie University)
Adam Sikora (Macquarie University)
AMSI International Conference on harmonic Analysis and Applications (Macquarie University, February 2011)