Orthogonal Approach to the Construction of the Theory of Generalized Functions of Infinitely Many Variables and the Poisson Analysis of White Noise

DOI10.1007/s11253-005-0158-yzbMath1080.46021OpenAlexW2155079585MaRDI QIDQ5692056

Volodymyr Tesko, Yurij M. Berezansky

Publication date: 27 September 2005

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

Full work available at URL: https://doi.org/10.1007/s11253-005-0158-y

zbMATH Keywords

generalized functionsCharlier polynomialsbiorthogonal systemtest functionsPoissonian white noise analysis

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)

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