Displaying similar documents to “Nonsymmetric group algebras”

The size of characters of compact Lie groups

Kathryn Hare (1998)

Studia Mathematica

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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 μ n L 1 . When μ is a continuous, orbital measure then μ n is seen to belong to L 2 . 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).

Green functions and spectra on free products of cyclic groups

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.

Tail and moment estimates for some types of chaos

Rafał Latała (1999)

Studia Mathematica

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Let X i be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable X = i j a i , j X i X j , where a i , j 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.