The system of translates and the special affine Fourier transform
Functional Analysis
2024-07-23 v2
Abstract
The translation operator associated with the special affine Fourier transform (SAFT) is introduced from harmonic analysis point of view. The analogues of Wendel's theorem, Wiener theorem, Weiner-Tauberian theorem and Bernstein type inequality in the context of the SAFT are established. The shift invariant space associated with the special affine Fourier transform is introduced and studied along with sampling problems.
Keywords
Cite
@article{arxiv.2212.05678,
title = {The system of translates and the special affine Fourier transform},
author = {Md Hasan Ali Biswas and Frank Filbir and Radha Ramakrishnan},
journal= {arXiv preprint arXiv:2212.05678},
year = {2024}
}