- Düzce Üniversitesi Bilim ve Teknoloji Dergisi
- Vol: 11 Issue: 2
- A Note on Function Spaces with Fractional Fourier Transforms in Wiener-type Spaces
A Note on Function Spaces with Fractional Fourier Transforms in Wiener-type Spaces
Authors : Erdem Toksoy
Pages : 717-728
Doi:10.29130/dubited.1068024
View : 9 | Download : 6
Publication Date : 2023-04-30
Article Type : Research
Abstract :The purpose of this paper is to introduce and study a function space A_(α,w)^(B,Y) (R^d ) to be a linear space of functions h∈L_w^1 (R^d ) whose fractional Fourier transforms F_α h belong to the Wiener-type space W(B,Y)(R^d ), where w is a Beurling weight function on R^d. We show that this space becomes a Banach algebra with the sum norm 〖‖h‖〗_(1,w)+〖‖F_α h‖〗_(W(B,Y)) and Θ convolution operation under some conditions. We find an approximate identity in this space and show that this space is an abstract Segal algebra with respect to L_w^1 (R^d ) under some conditions.Keywords : Kesirli Fourier dönüşümü, girişim işlemi, Wiener-tipi uzaylar