Classical and nonclassical Levy Laplacians

DOI10.1134/S1064562407060014zbMath1155.35482MaRDI QIDQ957798

Luigi Accardi, O. G. Smolyanov

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cesàro TraceLevy LaplacianYang-Mills Equation

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Derivatives of functions in infinite-dimensional spaces (46G05) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (7)

Stochastic Lévy differential operators and Yang–Mills equations ⋮ Даламбертианы Леви и их применение в квантовой теории ⋮ Quantum probability and Levy Laplacians ⋮ HIERARCHY OF LÉVY–LAPLACIANS AND QUANTUM STOCHASTIC PROCESSES ⋮ Generalized Lévy Laplacians and Cesàro means ⋮ Lévy Laplacians in Hida calculus and Malliavin calculus ⋮ Lévy differential operators and Gauge invariant equations for Dirac and Higgs fields

Cites Work

• Lévy Laplacian of generalized functions on a nuclear space
• Change of variable formulas for infinite-dimensional distributions
• Quadratic quantum white noises and Lévy Laplacian.

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