THE LÉVY LAPLACIAN ACTING ON POISSON NOISE FUNCTIONALS

DOI10.1142/S0219025799000291zbMath1043.35526MaRDI QIDQ4810355

Allanus H. Tsoi, Kimiaki Saitô

Publication date: 3 September 2004

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

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Special classes of linear operators (47B99) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items

Quantum Lévy Laplacian and associated heat equation, DIAGONALIZATION OF THE LÉVY LAPLACIAN AND RELATED STABLE PROCESSES, STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS, Stochastic Processes Associated with a Sum of the Lévy Laplacians

Cites Work

• Lévy Laplacian of generalized functions on a nuclear space
• Generalized Poisson functionals
• Spectral Type of the Shift Transformation of Differential Processes With Stationary Increments
• Calculus on Gaussian and Poisson white noises
• Analysis on Poisson and Gamma Spaces
• A C₀-Group Generated by the Lévy Laplacian II
• CAUCHY PROBLEMS ASSOCIATED WITH THE LÉVY LAPLACIAN IN WHITE NOISE ANALYSIS