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Biswas, M.H.A.* ; Filbir, F. ; Ramakrishnan, R.*

The system of translates and the special affine Fourier transform.

Ann. Mat. Pura Appl., DOI: 10.1007/s10231-025-01567-y (2025)
Postprint DOI
Open Access Green
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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter 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
Zeitschrift Annali di Matematica Pura ed Applicata
Verlag Springer
Verlagsort Tiergartenstrasse 17, D-69121 Heidelberg, Germany
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biological and Medical Imaging (IBMI)
Förderungen Helmholtz Pilot Project