EXOTIC LAPLACIANS AND ASSOCIATED STOCHASTIC PROCESSES

DOI10.1142/S0219025709003513zbMath1172.60019OpenAlexW2009850585MaRDI QIDQ3635998

Luigi Accardi, Kimiaki Saitô, Un Cig Ji

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1142/s0219025709003513

zbMATH Keywords

white noise theoryinfinite-dimensional Brownian motionGross Laplacianexotic Laplacian

Mathematics Subject Classification ID

White noise theory (60H40)

Related Items (12)

Analytic characterizations of infinite dimensional distributions ⋮ Laplacian with respect to a measure on a Riemannian manifold and the Dirichlet problem. I ⋮ EXOTIC LAPLACIANS AND DERIVATIVES OF WHITE NOISE ⋮ White noise delta functions and infinite-dimensional Laplacians ⋮ HIERARCHY OF LÉVY–LAPLACIANS AND QUANTUM STOCHASTIC PROCESSES ⋮ Relationships between usual and exotic Hida–Kubo–Takenaka spaces ⋮ Laplacian with respect to a measure on a Hilbert space and an \(L_2\)-version of the Dirichlet problem for the Poisson equation ⋮ Renormalization and central extensions ⋮ STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS ⋮ Higher order multi-dimensional extensions of Cesàro theorem ⋮ Lévy Laplacians in Hida calculus and Malliavin calculus ⋮ THE EXOTIC (HIGHER ORDER LÉVY) LAPLACIANS GENERATE THE MARKOV PROCESSES GIVEN BY DISTRIBUTION DERIVATIVES OF WHITE NOISE

Cites Work

• A white noise approach to infinitely divisible distributions on Gel'fand triple
• Lévy Laplacian of generalized functions on a nuclear space
• A characterization of Hida distributions
• An analytic characterization of symbols of operators on white noise functionals
• White noise calculus and Fock space
• Transformation groups on white noise functionals and their applications
• Notes on a 𝐶₀-group generated by the Lévy Laplacian
• Infinite dimensional rotations and Laplacians in terms of white noise calculus
• A C₀-Group Generated by the Lévy Laplacian II
• CAUCHY PROBLEMS ASSOCIATED WITH THE LÉVY LAPLACIAN IN WHITE NOISE ANALYSIS
• A (C_o)-group generated by the lévy laplacian
• A characterization of the Lévy Laplacian in terms of infinite dimensional rotation groups
• DIAGONALIZATION OF THE LÉVY LAPLACIAN AND RELATED STABLE PROCESSES
• A SIMILARITY BETWEEN THE GROSS LAPLACIAN AND THE LÉVY LAPLACIAN
• A QUANTUM APPROACH TO LAPLACE OPERATORS

This page was built for publication: EXOTIC LAPLACIANS AND ASSOCIATED STOCHASTIC PROCESSES