Group Actions and Singular Martingales II, The Recognition Problem
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Published:2004-04-01
Issue:2
Volume:56
Page:431-448
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ISSN:0008-414X
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Container-title:Canadian Journal of Mathematics
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language:en
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Short-container-title:Can. j. math.
Author:
Rosenblatt Joseph,Taylor Michael
Abstract
AbstractWe continue our investigation in [RST] of a martingale formed by picking a measurable set A in a compact group G, taking random rotates of A, and considering measures of the resulting intersections, suitably normalized. Here we concentrate on the inverse problem of recognizing A from a small amount of data from this martingale. This leads to problems in harmonic analysis on G, including an analysis of integrals of products of Gegenbauer polynomials.
Publisher
Canadian Mathematical Society
Subject
General Mathematics