A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS

DOI10.1142/S0219025711004535zbMath1234.60069MaRDI QIDQ3114607

Nobuaki Obata, Habib Ouerdiane

Publication date: 19 February 2012

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

zbMATH Keywords

Laplace transformWick productconvolution productconvolution operatorwhite noise calculusS-transforminfinite-dimensional holomorphic function

Mathematics Subject Classification ID

White noise theory (60H40)

Related Items (9)

Factorization property of convolutions of white noise operators ⋮ Two generalizations of Mehler's formula in white noise analysis ⋮ Stochastic Bernoulli equation on the algebra of generalized functions ⋮ Stochastic Clairaut equation on algebra of generalized functions ⋮ Generalized Riccati Wick differential equation and applications ⋮ Feynman Integrals for a New Class of Time-Dependent Exponentially Growing Potentials ⋮ Generalized Bernoulli Wick differential equation ⋮ Solutions of infinite dimensional partial differential equations ⋮ Wick calculus for vector-valued Gaussian white noise unctionals

Cites Work

• White noise calculus and Fock space
• Spaces of white noise distributions: Constructions, descriptions, applications. I
• Algebras of operators on holomorphic functions and applications
• A duality theorem between spaces of holomorphic functions of exponential growth
• UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ℝ)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE
• A New Class of White Noise Generalized Functions
• QUANTUM STOCHASTIC ANALYSIS VIA WHITE NOISE OPERATORS IN WEIGHTED FOCK SPACE
• ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION

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