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math.PR2006
A note of spaces of test and generalized functions of Poisson white noise
E. Lytvynov
The paper is devoted to construction and investigation of some riggings of the -space of Poisson white noise. A particular attention is paid to the existence of a continuous v…
math.PR2006★ 2 cited
Functional spaces and operators connected with some Lévy noises
E. Lytvynov
We review some recent developments in white noise analysis and quantum probability. We pay a special attention to spaces of test and generalized functionals of some Lévy white nois…
math.PR2006★ 1 cited
Operators of Gamma white noise analysis
Yu. Kondratiev, E. Lytvynov
The paper is devoted to the study of Gamma white noise analysis. We define an extended Fock space $\Gama(\Ha)$ over $\Ha=L^2(\R^d, dσ)$, and show how to include the usual Fock spac…