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The system of translates and the special affine Fourier transform
- Publication Year :
- 2022
-
Abstract
- 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.
- Subjects :
- Mathematics - Functional Analysis
Primary 42A38, Secondary 42A85, 42C15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2212.05678
- Document Type :
- Working Paper