National research symposium on geometric analysis & applications

Preface

This volume contains the proceeding of the National Research Symposium on Geometric Analysis and Applications held at the Centre for Mathematics and its Applications, Australian National University, Canberra, from June 26 - 30, 2000. The Symposium celebrated the many significant contributions of Professor Derek W. Robinson to mathematics, on the occasion of his 65th birthday. The first day, Monday June 26, in particular was devoted to Derek; speakers with a particularly close connection to Derek, including A. Carey, M. Cowling, D. Evans, P. Jorgensen and T. ter Elst recalled and elaborated on important aspects of Derek's work, and the day ended with a banquet in Derek's honour.

The Symposium brought together researchers working in harmonic analysis, linear and nonlinear partial differential equations, quantum mechanics and mathematical physics, and included researchers from North America, Europe and Asia as well as Australasia.

We gratefully acknowledge the support of the contributors to this volume. We would like especially thank to Derek W. Robinson for his participation. A short synopsis of Derek's career, and a full list of his publications to date are included in this volume.

Contributions for the proceedings were sought from all participants and all papers received were carefully refereed by peer referees.

Contents

Chapter Page no
1 - Electrons with self-field as solutions to nonlinear PDE (PDF, 272KB)
Hilary Booth
1
2 - Quantum mechanics as an intuitionistic form of classical mechanics (PDF, 224KB)
John V Corbett, Murray Adelman
15
3 - Vilenkin bases in non-commutative Lp-spaces (PDF, 240KB)
PG Dodds, FA Sukochev
30
4 - Orbital convolutions, wrapping maps and e-functions (PDF, 192KB)
AH Dooley
42
5 - Norms of 0-1 matrices in Cp (PDF, 192KB)
Ian Doust
50
6 - Spectral multipliers for self-adjoint operators (PDF, 248KB)
Xuan Thinh Duong, El Maati Ouhabaz, Adam Sikora
56
7 - Subelliptic operators and Lie groups (PDF, 272KB)
AFM Ter Elst, Derek W Robinson
67
8 - From XY to Ade (PDF, 280KB)
David E Evans
85
9 - The heat-flow method in contact geometry (PDF, 224KB)
Robert Gulliver
106
10 - Manipulating the electron current through a splitting (PDF, 240KB)
M Harmer, A Mikhailova, BS Pavlov
118
11 - What's new for the Beltrami equation? (PDF, 272KB)
Tadeusz Iwaniec, Gaven Martin
132
12 - Some second-order partial differential equations associated with Lie groups (PDF, 248KB)
Palle ET Jorgensen
149
13 - Principal series and wavelets (PDF, 208KB)
Christopher Meaney
160
14 - Singularities and the wave equation on conic spaces (PDF, 224KB)
Richard B Melrose, Jared Wunsch
170
15 - Some remarks on oscillatory integrals (PDF, 248KB)
Gerd Mockenhaupt
183
16 - Yet another construction of the central extension of the loop group (PDF, 176KB)
Michael K Murray, Daniel Stevenson
194
17 - Spectrum of the Ruelle operator and zeta functions for broken geodesic flows (PDF, 256KB)
Luchezar Stoyanov
201
18 - On the Banach-isomorphic classification of Lp spaces of hyperfinite semifinite von Neumann algebras (PDF, 192KB)
FA Sukochev
213
19 - Introducing quaternionic gerbes (PDF, 248KB)
Finlay Thompson
222

Printed copy

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Volume

Volume 39

Date

26 Jun 2000 to 30 Jun 2000

Venue

The Australian National University, Canberra

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