The system of translates and the special affine Fourier transform

Autor: Biswas, Md Hasan Ali, Filbir, Frank, Ramakrishnan, Radha
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: The translation operator $T^A$ associated with the special affine Fourier transform (SAFT) $\mathscr{F}_A$ 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 $V_A$ associated with the special affine Fourier transform is introduced and studied along with sampling problems.
Databáze: arXiv