Spaces of Test and Generalized Functions Related to Generalized Translation Operators

DOI10.1023/B:UKMA.0000031659.39272.9fzbMath1080.46027MaRDI QIDQ5693642

Volodymyr Tesko, Yurij M. Berezansky

Publication date: 28 September 2005

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

zbMATH Keywords

Fock spacerigged Hilbert spaceinfinite tensor productgeneralized translation operatorsWick multiplication

Mathematics Subject Classification ID

White noise theory (60H40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Distributions on infinite-dimensional spaces (46F25) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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