Analysis of generalized Lévy white noise functionals

DOI10.1016/j.jfa.2003.07.002zbMath1043.60053OpenAlexW2086548516MaRDI QIDQ1827552

Yuh-Jia Lee, Hsin-Hung Shih

Publication date: 6 August 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.07.002

zbMATH Keywords

S-transformLévy white noise functionals

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) White noise theory (60H40)

Related Items (13)

Canonical Lévy process and Malliavin calculus ⋮ Quantum Pascal white noise fields ⋮ On extended stochastic integrals with respect to Lévy processes ⋮ Noncommutative quantum decomposition of Gegenbauer white noise process ⋮ UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ℝ)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE ⋮ The Segal-Bargmann transform for Lévy white noise functionals associated with non-integrable Lévy processes ⋮ Nuclear Realization of Virasoro–Zamolodchikov-w_∞⋆-Lie Algebras Through the Renormalized Higher Powers of Quantum Meixner White Noise ⋮ Fractional generalized Lévy random fields as white noise functionals ⋮ AN APPLICATION OF THE SEGAL–BARGMANN TRANSFORM TO THE CHARACTERIZATION OF LÉVY WHITE NOISE MEASURES ⋮ Lévy white noise measures on infinite-dimensional spaces: existence and characterization of the measurable support ⋮ WHITE NOISE LÉVY–MEIXNER PROCESSES THROUGH A TRANSFER PRINCIPAL FROM ONE-MODE TO ONE-MODE TYPE INTERACTING FOCK SPACES ⋮ THE QUANTUM DECOMPOSITION OF RANDOM VARIABLES WITHOUT MOMENTS ⋮ GENERALIZED FRACTIONAL LÉVY PROCESSES: A WHITE NOISE APPROACH

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