An Analytic Characterization of p,q-White Noise Functionals
Joint Authors
Riahi, Anis
Ettaieb, Amine
Chammam, Wathek
Alhussain, Ziyad Ali
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Riahi, Anis& Ettaieb, Amine& Chammam, Wathek& Alhussain, Ziyad Ali. 2020. An Analytic Characterization of p,q-White Noise Functionals. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1188101
Modern Language Association (MLA)
Riahi, Anis…[et al.]. An Analytic Characterization of p,q-White Noise Functionals. Journal of Mathematics No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1188101
American Medical Association (AMA)
Riahi, Anis& Ettaieb, Amine& Chammam, Wathek& Alhussain, Ziyad Ali. An Analytic Characterization of p,q-White Noise Functionals. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1188101
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188101