Group Actions and Singular Martingales II, The Recognition Problem
Canadian journal of mathematics, Tome 56 (2004) no. 2, pp. 431-448

Voir la notice de l'article provenant de la source Cambridge University Press

We 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.
DOI : 10.4153/CJM-2004-020-2
Mots-clés : 43A77, 60B15, 60G42, 42C10
Rosenblatt, Joseph; Taylor, Michael. Group Actions and Singular Martingales II, The Recognition Problem. Canadian journal of mathematics, Tome 56 (2004) no. 2, pp. 431-448. doi: 10.4153/CJM-2004-020-2
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