Some groups whose reduced -algebra is simple
M. Bekka, M. Cowling, P. de La Harpe (1994)
Publications Mathématiques de l'IHÉS
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M. Bekka, M. Cowling, P. de La Harpe (1994)
Publications Mathématiques de l'IHÉS
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John Daly (1971)
Studia Mathematica
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R. Edwards, E. Hewitt, K. Ross (1972)
Studia Mathematica
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Carsten Schütt (1982)
Compositio Mathematica
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Carsten Schütt (1982)
Studia Mathematica
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K. Urbanik (1960)
Fundamenta Mathematicae
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Kathryn Hare (1998)
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Pointwise upper bounds for characters of compact, connected, simple Lie groups are obtained which enable one to prove that if μ is any central, continuous measure and n exceeds half the dimension of the Lie group, then . When μ is a continuous, orbital measure then is seen to belong to . Lower bounds on the p-norms of characters are also obtained, and are used to show that, as in the abelian case, m-fold products of Sidon sets are not p-Sidon if p < 2m/(m+1).
K. Aomoto, Y. Kato (1988)
Annales de l'institut Fourier
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Green functions of a stochastic operator on a free product of cyclic groups are explicitly evaluated as algebraic functions. The spectra are investigated by Morse theoretic argument.
Rafał Latała (1999)
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Let be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable , where are real numbers. We derive approximate formulas for the tails and moments of X and of its decoupled version, which are exact up to some universal constants.