Algebres nucleaires de fonctions entières et equations aux derivées partielles stochastiques

DOI10.1017/S0027763000025204zbMath0921.60036MaRDI QIDQ4236911

Habib Ouerdiane

Publication date: 21 September 1999

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

zbMATH Keywords

white noiseHida distributionstochastic partial differential equationnuclear spaceGelfand triple

Mathematics Subject Classification ID

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

Related Items (6)

Asymptotic estimates for white noise distributions ⋮ GENERALIZED FEYNMAN–KAC FORMULA WITH STOCHASTIC POTENTIAL ⋮ ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION ⋮ Powers of quantum white noise derivatives ⋮ Quantum white noise stochastic analysis based on nuclear algebras of entire functions ⋮ AN EXTENDED STOCHASTIC INTEGRAL AND A WICK CALCULUS ON PARAMETRIZED KONDRATIEV-TYPE SPACES OF MEIXNER WHITE NOISE

Cites Work

• Unnamed Item
• On positive generalized functionals
• On the convergence of partial differential equations of parabolic type with rapidly oscillating coefficients to stochastic partial differential equations
• An analytic characterization of symbols of operators on white noise functionals
• Potential theory on Hilbert space
• A fundamental solution of the parabolic equation on Hilbert space
• A Characterization of White Noise Test Functionals

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