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- Title
ON A WEIGHTED ALGEBRA UNDER FRACTIONAL CONVOLUTION.
- Authors
TOKSOY, ERDEM
- Abstract
In this study, we describe a linear space AW,Va,p (Rd) of functions (Rd) whose fractional Fourier transforms belong to AW,Va,p(Rd) for. We show that (Rd) (Rd) becomes a Banach algebra with the sum norm ||f||AW,Va,p=||f||1,W and under (fractional convolution) convolution operation. Besides, we indicate that the space AW,Va,p(Rd) is an abstract Segal algebra, where is weight function of regular growth. Moreover, we find an approximate identity for AW,Va,p(Rd). We also discuss some other properties of AW,Va,p (Rd). Finally, we investigate some inclusions of this space.
- Subjects
ABSTRACT algebra; ALGEBRA; BANACH algebras; VECTOR spaces; FOURIER transforms
- Publication
Journal of Science & Arts, 2023, Vol 23, Issue 4, p883
- ISSN
1844-9581
- Publication type
Article
- DOI
10.46939/J.Sci.Arts-23.4-a06