White noise delta functions and infinite-dimensional Laplacians
From MaRDI portal
Publication:5150269
DOI10.1142/S0219025720500289zbMath1461.60060OpenAlexW3110453256MaRDI QIDQ5150269
Un Cig Ji, Ai Hasegawa, Luigi Accardi, Kimiaki Saitô
Publication date: 10 February 2021
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/s0219025720500289
White noise theory (60H40) Measures and integration on abstract linear spaces (46G12) Distributions on infinite-dimensional spaces (46F25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Brownian functionals and applications
- Regularity property of Donsker's delta function
- Lévy Laplacian of generalized functions on a nuclear space
- A characterization of Hida distributions
- Yang-Mills gauge fields as harmonic functions for the Lévy Laplacian
- Fractional order Sobolev spaces on Wiener space
- White noise calculus and Fock space
- Calculus on Gaussian white noise. IV
- The Donsker delta function of a Lévy process with application to chaos expansion of local time
- Notes on a 𝐶₀-group generated by the Lévy Laplacian
- THE EXOTIC (HIGHER ORDER LÉVY) LAPLACIANS GENERATE THE MARKOV PROCESSES GIVEN BY DISTRIBUTION DERIVATIVES OF WHITE NOISE
- EXOTIC LAPLACIANS AND DERIVATIVES OF WHITE NOISE
- EXOTIC LAPLACIANS AND ASSOCIATED STOCHASTIC PROCESSES
- 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 fundamental solution to the Schrödinger equation with Doss potentials and its smoothness
- Donsker's delta function of Lévy process
- A stochastic process generated by the Lévy Laplacian
