REGULAR GENERALIZED FUNCTIONS IN GAUSSIAN ANALYSIS

DOI10.1142/S0219025799000023zbMath0965.60042MaRDI QIDQ4269405

Martin Grothaus, Ludwig Streit, Yuri G. Kondratiev

Publication date: 29 November 1999

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Distributions on infinite-dimensional spaces (46F25)

Related Items (11)

On the equivalence of probability spaces ⋮ On unbiased stochastic Navier-Stokes equations ⋮ Stochastic integral representation theorem for quantum semimartingales. ⋮ A Lusin-type theorem for vector fields on the Wiener space ⋮ ON STOCHASTIC GENERALIZED FUNCTIONS ⋮ The complex scaled Feynman–Kac formula for singular initial distributions ⋮ Mittag-Leffler analysis. I: Construction and characterization ⋮ Mittag-Leffler analysis. II: Application to the fractional heat equation. ⋮ Integration by parts on the law of the modulus of the Brownian bridge ⋮ EXPANSION THEOREMS FOR GENERALIZED RANDOM PROCESSES, WICK PRODUCTS AND APPLICATIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS ⋮ Wick calculus for vector-valued Gaussian white noise unctionals

Cites Work

• The spaces of trial and generalized functions of infinite number of variables
• Calculus on Gaussian white noise. I
• A characterization of Hida distributions
• Generalized functionals in Gaussian spaces: The characterization theorem revisited
• On a dual pair of spaces of smooth and generalized random variables
• Tempered distributions in infinitely many dimensions. I: Canonical field operators. II: Displacement operators
• On the martingale property for generalized stochastic processes

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