On orbit spaces of compact group actions

1982 ◽  
Vol 40 (3-4) ◽  
pp. 209-215
Author(s):  
Satya Deo ◽  
P. Palanichamy
Keyword(s):  
Compact Group ◽  
Group Actions ◽  
Orbit Spaces

scholarly journals Countable sections for locally compact group actions

1992 ◽  
Vol 12 (2) ◽  
pp. 283-295 ◽  
Author(s):  
Alexander S. Kechris
Keyword(s):  
Compact Group ◽  
Equivalence Relation ◽  
Group Actions ◽  
Locally Compact Group ◽  
Borel Space ◽  
Locally Compact ◽  
Borel Equivalence Relation ◽  
Measurable Section ◽  
Singular Action

AbstractIt has been shown by J. Feldman, P. Hahn and C. C. Moore that every non-singular action of a second countable locally compact group has a countable (in fact so-called lacunary) complete measurable section. This is extended here to the purely Borel theoretic category, consisting of a Borel action of such a group on an analytic Borel space (without any measure). Characterizations of when an arbitrary Borel equivalence relation admits a countable complete Borel section are also established.

scholarly journals Compact group actions with the Rokhlin property

2018 ◽  
Vol 371 (4) ◽  
pp. 2837-2874 ◽  
Author(s):  
Eusebio Gardella
Keyword(s):  
Compact Group ◽  
Group Actions

scholarly journals Compact group actions, spherical bessel functions, and invariant random variables

1987 ◽  
Vol 21 (1) ◽  
pp. 128-138
Author(s):  
Kenneth I. Gross ◽  
Donald St.P. Richards
Keyword(s):  
Compact Group ◽  
Bessel Functions ◽  
Group Actions ◽  
Random Variables

Group Actions and Singular Martingales II, The Recognition Problem

2004 ◽  
Vol 56 (2) ◽  
pp. 431-448
Author(s):  
Joseph Rosenblatt ◽  
Michael Taylor
Keyword(s):  
Inverse Problem ◽  
Compact Group ◽  
Harmonic Analysis ◽  
Group Actions ◽  
Gegenbauer Polynomials ◽  
Recognition Problem ◽  
Measurable Set

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.

scholarly journals Compact group actions that raise dimension to infinity

1997 ◽  
Vol 80 (1-2) ◽  
pp. 101-114 ◽  
Author(s):  
A.N. Dranishnikov ◽  
J.E. West
Keyword(s):  
Compact Group ◽  
Group Actions
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