2022/12/12 by Biswas, Md Hasan Ali, Filbir, Frank, Ramakrishnan, Radha
#42C15 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 42A38 #Secondary 42A85
paper · doi:10.48550/arxiv.2212.05678
The translation operator TA associated with the special affine Fourier transform (SAFT) \mathscrFA 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.