On Meyer’s equivalence

DOI10.1017/S002776300000101XzbMath0629.28011MaRDI QIDQ3766011

Juergen Potthoff

Publication date: 1988

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

tempered distributionsWiener spacesmooth functionalsGaussian spacesMeyer's equivalence

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Probabilistic potential theory (60J45) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions on infinite-dimensional spaces (46F25)

Related Items (5)

Dirichlet forms and white noise analysis ⋮ Itô's lemma without non-anticipatory conditions ⋮ A characterization of Hida distributions ⋮ Construction of a general class of Dirichlet forms in terms of white noise analysis ⋮ De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions

Cites Work

• Unnamed Item
• Sobolev spaces of Wiener functionals and Malliavin's calculus
• On positive generalized functionals
• Littlewood-Paley theory on Gaussian spaces

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