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The system of translates and the special affine Fourier transform.
Ann. Mat. Pura Appl., DOI: 10.1007/s10231-025-01567-y (2025)
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, Wiener-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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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Convolution ; Poisson Summation Formula ; Shift Invariant Space ; Wendel’s Theorem ; Zak Transform; Shift-invariant Spaces; Sampling Theorem; Reconstruction
ISSN (print) / ISBN
0373-3114
e-ISSN
1618-1891
Publisher
Springer
Publishing Place
Tiergartenstrasse 17, D-69121 Heidelberg, Germany
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biological and Medical Imaging (IBMI)
Grants
Helmholtz Pilot Project