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Department of Mathematics,
University of California San Diego

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Math 295 - Mathematics Colloquium

Herbert Heyer

University of Tuebingen

The Levy-Khintchine decomposition in infinite dimensions

Abstract:

We start by discussing Bochner's canonical decomposition of negative definite functions on the space of infinite sequences of real numbers and then look at extensions of this theorem within the framework of more general infinite-dimensional groups like the infinite symmetric group. The chosen approach relies on the theory of spherical functions developed by G. Olshanski.

Host: Pat Fitzsimmons

December 1, 2016

2:00 PM

AP&M 6402

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