Autor: |
Biswas, Md Hasan Ali, Filbir, Frank, Ramakrishnan, Radha |
Rok vydání: |
2022 |
Předmět: |
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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 |
Externí odkaz: |
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