The system of translates and the special affine Fourier transform
Abstract
The translation operator TA associated with the special affine Fourier transform (SAFT) FA 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 VA associated with the special affine Fourier transform is introduced and studied along with sampling problems.
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