Lévy's probability measures on Banach spaces

DOI10.4064/sm-63-3-283-308zbMath0404.60010OpenAlexW1041150066WikidataQ106129118 ScholiaQ106129118MaRDI QIDQ4189885

Kazimierz Urbanik

Publication date: 1978

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218216

zbMATH Keywords

Separable Banach SpaceLimit LawsDecomposability SemigroupsNormed Sums of Independent Random VariablesRepresentation Theorem for The Characteristic Functionals

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Convergence of probability measures (60B10) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (13)

Strong mixing and operator self-decomposability ⋮ Operator self-similar processes on Banach spaces ⋮ The random integral representation conjecture: a quarter of a century later ⋮ A characterization of Levy probability distribution functions on Euclidean spaces ⋮ MULTIVARIATE FACTOR-BASED PROCESSES WITH SATO MARGINS ⋮ Unnamed Item ⋮ Infinite dimensional Ornstein-Uhlenbeck processes driven by Lévy processes ⋮ Operator-decomposability of Gaussian measures on separable Banach spaces ⋮ Limit distributions and one-parameter groups of linear operators on Banach spaces ⋮ Continuity properties of decomposable probability measures on Euclidean spaces ⋮ A law of the iterated logarithm for distributions in the generalized domain of attraction of a nondegenerate Gaussian law ⋮ An integral representation for selfdecomposable banach space valued random variables ⋮ An alternative approach to multiply self-decomposable probability measures on Banach spaces

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