Miniconference on Harmonic Analysis and Operator Algebras: Canberra, 5-8 August and 2-3 December 1987

This volume contains the proceedings of the conferences held in the second half of the Special Year in Harmonic Analysis and Operator Algebras at the Centre for Mathematical Analysis in 1987. There were in fact two conferences, the first held in August and the second somewhat smaller gathering in December.

TABLE OF CONTENTS -- Miscellaneous front matter -- A transmutation property of the generalized Abel transform associated with the root system -- A class of ergodic measures -- Trigonometric sums and polynomial zeros -- Representations of infinite dimensional groups and applications -- On the behavior of eigenfunction expansions and singular integral operators -- Rigidity, von Neumann algebras, and semisimple groups -- Remarks on non-commutative Banach function spaces -- Harmonic analysis and exceptional representation of semisimple groups -- Remarks on non-commutative Banach function spaces -- Normal subrelations of ergodic equivalence relations -- Integration of infinitesimally unitary representations -- Harmonic analysis of the quantum nonlinear Schrödinger equation -- A qualitative uncertainty principle for locally compact Abelian groups -- Fredholmmodules associated to Bruhat-Tits building -- Irreducible representations that cannot be separated from the trivial representation -- A remark on the relative entropy -- Singular integrals on BMO -- Induced representations of crossed products by coactions -- On the transference theorem of Coifman and Weiss -- Discrepancy results for normal numbers -- Lie group imbeddings of the Fourier transform and a new family of uncertainty principles -- Piecewise linear functions and series expansions in terms of Dirichlet and Fejér kernels -- Hankel operators on the Paley-Wiener space in disk -- The minimal Martin boundary of a Cartesian product of trees -- Spectral synthesis of orbits of compact groups -- Supports and localization for multiple Fourier series -- Ideal structure of groupoid crossed product C* algebras -- Applications of analysis on Lipschitz manifolds -- Clifford matrices, Cauchy Kowalewski extensions and analytic functionals -- Strong ergodicity and quotients of equivalence relations -- Random walks on a discrete semigroup and Chebyshev polynomials -- Classifying actions of groups on von Neumann algebras -- The boundary associated with a probability measure on a group -- Orbit equivalence, lie groups, and foliations.