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- Title
EXOTIC LAPLACIANS AND DERIVATIVES OF WHITE NOISE.
- Authors
ACCARDI, LUIGI; JI, UN CIG; SAITÔ, KIMIAKI; Obata, N.
- Abstract
In this paper, we give a relationship between the exotic Laplacians and the Lévy Laplacians in terms of the higher-order derivatives of white noise by introducing a bijective and continuous linear operator acting on white noise functionals. Moreover, we study a relationship between exotic Laplacians, acting on higher-order singular functionals, each other in terms of the constructed operator.
- Subjects
LAPLACIAN operator; WHITE noise theory; MATHEMATICAL singularities; FUNCTIONAL analysis; LEVY processes; LINEAR operators; CONTINUOUS functions
- Publication
Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2011, Vol 14, Issue 1, p1
- ISSN
0219-0257
- Publication type
Article
- DOI
10.1142/S0219025711004262