An Analytic Characterization of p,q-White Noise Functionals

Autor: Anis Riahi, Amine Ettaieb, Wathek Chammam, Ziyad Ali Alhussain
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Mathematics, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 2314-4629
2314-4785
DOI: 10.1155/2020/6319138
Popis: In this paper, a characterization theorem for the S-transform of infinite dimensional distributions of noncommutative white noise corresponding to the p,q-deformed quantum oscillator algebra is investigated. We derive a unitary operator U between the noncommutative L2-space and the p,q-Fock space which serves to give the construction of a white noise Gel’fand triple. Next, a general characterization theorem is proven for the space of p,q-Gaussian white noise distributions in terms of new spaces of p,q-entire functions with certain growth rates determined by Young functions and a suitable p,q-exponential map.
Databáze: Directory of Open Access Journals
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