Miniconference on Probability and Analysis
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Price: AUD $33.00
Volume: 29
Venue: University of New South Wales

Preface

This volume contains the complete proceedings of the miniconference, "Probability and Analysis", held at the University of New South Wales, in Sydney, in July 1991.  The main topics of the conference were the use of probability in analysis, and geometric and operator theoretic aspects of Banach space theory.  The inspiration for the conference was the visits to Australia of Aleksander Pelczynski and Don Burkholder.  After some intiial indecision as to whether organising a conference was really a good idea, Werner, Ricker and Ian Doust put the wheels in motions.  Professors Pelczynski and Burkholder were joined by local invited speakers Gavin Brown, Garth Gaudry and Alan McIntosh.  Another twenty speakers gave contributed papers.  In total over fifty mathematicians from a wide variety of institutions took part in what was to be a very enjoyable meeting, spanning a wide range of analysis.

We would like to record our thanks to all the bodies who have directly and indirectly supported this meeting:

  • The Centre for Mathematics and it's Applications ANU
  • The Australian Mathematical Society.
  • The Australian Research Council
  • The University of New South Wales.

We should especially like to thank Mrs Marilyn Gray from the CMA for all of her usual efficient help behind the scenes, the secretarial staff at the University of NSW for cheerfully putting up with another conference, and all our colelagues who attended and who made the job or the organisers very easy.

Content

Chapter Page
1 Some New Applications of Riesz Products
Gavin Brown		 1
2 Some Properties of Symmetric Operator Spaces
Peter G. Dodds and Theresa K.-Y. Dodds		 14
3 Unitary Approximation and Submajorization
Peter G. Dodds and Theresa K.-Y. Dodds		 42
4 On Kakutani's Criterion and Shiryaev's Theorem
A.H. Dooley		 58
5 Subelliptic Operators on Lie Groups
A.F.M. ter Elst and Derek W. Robinson		 63
6 The Frechet Differentiability on Convex Functions on C(S)
Roger Eyland and Bernice Sharp		 73
7 Clifford Martingales, The T(b) Theorem and Cauchy Integrals
Garth I. Gaudry		 92
8 Differentiability Properties of Banach Spaces where the Boundary of the Closed Unit Ball has Denting Point Properties
John R. Giles and Warren B. Moors		 107
9 On Weak Solutions of Stochastic Evolution Equations with Unbounded Coefficients
Beniamin Goldys		 116
10 On Some Trace Inequalities
Hideki Kosaki		 129
11 Representations of Compact Groups, Cuntz-Krieger Algebras, and Groupoid C*-Algebras
M.H. Mann, lain Raeburn and C.E. Sutherland		 135
12 M.H. Mann, lain Raeburn and C.E. Sutherland
C. Meaney and E. Prestini		 145
13 A Continuity Property Related to an Index of Non-WCG and Its Implications
Warren B. Moors		 163
14 The Poincare-Bertrand Formula for the Hilbert Transform
Susumu Okada		 171
15 Non Isomorphism of the Disc Algebra with Spaces of Differentiable Functions
A. Pelczynski		 183
16 Inequalities for the Joint Spectrum of Simultaneously Triangularizable Matrices
A.J. Pryde 		196
17 The Heat Kernel for H-Type Groups
Jennifer Randall		 208
18 Weak Compactness in Spaces of Linear Operators
Werner J. Ricker		 212
19 Fragmentability of Rotund Banach Spaces
Scott Sciffer		 222
20 On the Uniform Classification of Lp(/l) Spaces
Anthony Weston		 231
21 Hypergroups and Harmonic Analysis
N.J. Wildberger		 238