Classical theorems of probability on Gelfand pairs -- Khinchin's theorem and Cramér's theorem

DOI10.1007/BF02784506zbMath1032.43001MaRDI QIDQ1860699

Piotr Graczyk, C. Robinson Edward Raja

Publication date: 13 March 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Gelfand pairsembedding problemfactorisationGaussian lawHungarian semigroup

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Measures on groups and semigroups, etc. (43A05) Harmonic analysis on hypergroups (43A62) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• Semistable measures and limit theorems on real and \(p\)-adic groups
• Factors, roots and embeddability of measures on Lie groups
• On the heredity of Hun and Hungarian property
• Convolution semigroups of probability measures on Gelfand pairs
• A problem related to the arithmetic of probability measures on the sphere
• Harmonic analysis of probability measures on hypergroups
• On shifted convolution powers of a probability measure
• Représentations de semi-groupes de mesures sur un groupe localement compact
• Harmonic analysis on a class of generalized Gel'fand pairs associated with hyperbolic spaces
• Limit theorems for probability measures on totally disconnected groups
• The central limit problem on locally compact groups
• Factorization theorems on symmetric spaces of noncompact type
• On a class of Hungarian semigroups and the factorization theorem of Khinchin
• Cramér theorem on symmetric spaces of noncompact type
• Distances hilbertiennes invariantes sur un espace homogene
• On Gelfand Pairs Associated with Solvable Lie Groups
• Infinitely divisible probability measures on a discrete Gelfand pair
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