EXOTIC LAPLACIANS AND DERIVATIVES OF WHITE NOISE

DOI10.1142/S0219025711004262zbMath1213.60114MaRDI QIDQ2996889

Luigi Accardi, Un Cig Ji, Kimiaki Saitô

Publication date: 4 May 2011

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

zbMATH Keywords

Lévy Laplacianhigher-order derivativewhite noise theoryexotic Laplacian

Mathematics Subject Classification ID

White noise theory (60H40)

Related Items (9)

Analytic characterizations of infinite dimensional distributions ⋮ Даламбертианы Леви и их применение в квантовой теории ⋮ Quantum probability and Levy Laplacians ⋮ Ergodic theorems for higher order Cesàro means ⋮ White noise delta functions and infinite-dimensional Laplacians ⋮ HIERARCHY OF LÉVY–LAPLACIANS AND QUANTUM STOCHASTIC PROCESSES ⋮ 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

• Lévy Laplacian of generalized functions on a nuclear space
• A characterization of Hida distributions
• White noise calculus and Fock space
• Notes on a 𝐶₀-group generated by the Lévy Laplacian
• EXOTIC LAPLACIANS AND ASSOCIATED STOCHASTIC PROCESSES
• A C₀-Group Generated by the Lévy Laplacian II
• CAUCHY PROBLEMS ASSOCIATED WITH THE LÉVY LAPLACIAN IN WHITE NOISE ANALYSIS
• 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
• A stochastic process generated by the Lévy Laplacian

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