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 number
1 - Electrons with self-field as solutions to nonlinear PDE (pdf 257.14 KB)
Hilary Booth
1
2 - Quantum mechanics as an intuitionistic form of classical mechanics (pdf 209.13 KB)
John V Corbett, Murray Adelman
15
3 - Vilenkin bases in non-commutative Lp-spaces (pdf 229.94 KB)
PG Dodds, FA Sukochev
30
4 - Orbital convolutions, wrapping maps and e-functions (pdf 178.11 KB)
AH Dooley
42
5 - Norms of 0-1 matrices in Cp (pdf 183.03 KB)
Ian Doust
50
6 - Spectral multipliers for self-adjoint operators (pdf 236.39 KB)
Xuan Thinh Duong, El Maati Ouhabaz, Adam Sikora
56
7 - Subelliptic operators and Lie groups (pdf 257.35 KB)
AFM Ter Elst, Derek W Robinson
67
8 - From XY to Ade (pdf 264.2 KB)
David E Evans
85
9 - The heat-flow method in contact geometry (pdf 208.18 KB)
Robert Gulliver
106
10 - Manipulating the electron current through a splitting (pdf 227.21 KB)
M Harmer, A Mikhailova, BS Pavlov
118
11 - What's new for the Beltrami equation? (pdf 259.04 KB)
Tadeusz Iwaniec, Gaven Martin
132
12 - Some second-order partial differential equations associated with Lie groups (pdf 235.59 KB)
Palle ET Jorgensen
149
13 - Principal series and wavelets (pdf 192.46 KB)
Christopher Meaney
160
14 - Singularities and the wave equation on conic spaces (pdf 213.85 KB)
Richard B Melrose, Jared Wunsch
170
15 - Some remarks on oscillatory integrals (pdf 233.48 KB)
Gerd Mockenhaupt
183
16 - Yet another construction of the central extension of the loop group (pdf 164.34 KB)
Michael K Murray, Daniel Stevenson
194
17 - Spectrum of the Ruelle operator and zeta functions for broken geodesic flows (pdf 244.17 KB)
Luchezar Stoyanov
201
18 - On the Banach-isomorphic classification of Lp spaces of hyperfinite semifinite von Neumann algebras (pdf 181.22 KB)
FA Sukochev
213
19 - Introducing quaternionic gerbes (pdf 237.67 KB)
Finlay Thompson
222