Conditionally positive-definite functions on locally compact groups and the Levy-Khinchin formula

DOI10.1007/BF02104978zbMath0556.43005OpenAlexW1998878601MaRDI QIDQ760872

S. I. Karpushev

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf02104978

zbMATH Keywords

spherical functionconditionally positive definite functionsLevy-Khinchin formula

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Positive definite functions on groups, semigroups, etc. (43A35) Representations of group algebras (22D20)

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Cites Work

• Connection of the dual space of a group with the structure of its closed subgroups
• Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
• Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space
• An application of extreme point methods to the representation of infinitely divisible distributions
• Cohomology in Banach algebras
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