Semistable measures and limit theorems on real and \(p\)-adic groups

DOI10.1007/BF01300670zbMath0779.60008MaRDI QIDQ688745

Riddhi Shah

Publication date: 19 January 1994

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178605

zbMATH Keywords

convolutionlocally compact groupsemigroup of probability measuressemistable measures

Mathematics Subject Classification ID

Convergence of probability measures (60B10) Analysis on (p)-adic Lie groups (22E35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

Moments and projections of semistable probability measures on \(p\)-adic vector spaces ⋮ Limits of commutative triangular systems on real and p-adic groups ⋮ On the uniqueness of semistable embedding and domain of semistable attraction for probability measures on \(p\)-adic groups ⋮ Semistable Selfdecomposable Laws on Groups ⋮ Probabilistic trace and Poisson summation formulae on locally compact abelian groups ⋮ Classification of the simple factors appearing in composition series of totally disconnected contraction groups ⋮ Limits of commutative triangular systems on locally compact groups ⋮ Asymptotic properties of convolution operators and limits of triangular arrays on locally compact groups ⋮ Operator-semistable, operator semi-selfdecomposable probability measures and related nested classes on \(p\)-adic vector spaces ⋮ The central limit problem on locally compact groups ⋮ The concentration function problem for locally compact groups revisited: nondissipating space-time random walks, \(\tau\)-decomposable laws, and their continuous time analogues ⋮ Classical theorems of probability on Gelfand pairs -- Khinchin's theorem and Cramér's theorem

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