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Continuous singular measures with absolutely continuous convolution squares
Author(s):
Anthony
H.
Dooley;
Sanjiv
Kumar
Gupta
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3115-3122.
MSC (1991):
Primary 43A77
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Abstract:
We prove for every non-abelian compact connected group  there is a continuous, singular, central measure  with  in  for all  . We also construct such measures on some families of non-abelian compact totally disconnected groups. These results settle an open question of Ragozin.
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Additional Information:
Anthony
H.
Dooley
Affiliation:
School of Mathematics, University of New South Wales, New South Wales 2052, Australia
Email:
tony@solution.maths.unsw.edu.au
Sanjiv
Kumar
Gupta
Affiliation:
School of Mathematics, University of New South Wales, New South Wales 2052, Australia
Address at time of publication:
Department of Mathematics, University of South Pacific, Suva, Fiji Islands
Email:
sanjiv@solution.maths.unsw.edu.au
DOI:
10.1090/S0002-9939-96-03391-6
PII:
S 0002-9939(96)03391-6
Received by editor(s):
September 4, 1994
Received by editor(s) in revised form:
April 3, 1995
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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