Harmonic analysis in infinite dimension

DOI10.1007/BF01047671zbMath0795.46029MaRDI QIDQ1803182

Denis Feyel, Arnaud De La Pradelle

Publication date: 29 June 1993

Published in: Potential Analysis (Search for Journal in Brave)

zbMATH Keywords

Wick productLaplace transformationHermite transformationWick transformation

Mathematics Subject Classification ID

Laplace transform (44A10) Abstract harmonic analysis (43A99) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Rings and algebras of continuous, differentiable or analytic functions (46E25) Distributions on infinite-dimensional spaces (46F25)

Related Items (1)

Differentiable measures and the Malliavin calculus

Cites Work

• Positive generalized white noise functionals
• Calcul d'intégrales et de dérivées en dimension infinie
• On positive generalized functionals
• Espaces de Sobolev gaussiens. (Gaussian Sobolev spaces)
• Calculus on Gaussian white noise. I
• Calculus on Gaussian white noise. II
• Gaussian capacities
• A characterization of Hida distributions
• On a Hilbert space of analytic functions and an associated integral transform part I
• A Characterization of White Noise Test Functionals
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