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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
Frames Associated with Shift-invariant Spaces on Local Fields
Type
JournalPaper
Keywords
Wavelet frame, Gabor frame, Local field, Fourier transform
Year
2018
Journal Filomat
DOI
Researchers Firdous Ahmad Shah ، Owais Ahmad ، Asghar Rahimi

Abstract

In this paper, we present a unified approach to the study of shift-invariant systems to be frames on local fields of positive characteristic. We establish a necessary condition and three sucient conditions under which the shift-invariant systems on local fields constitute frames for L2(K). As an application of these results, we obtain some known conclusions about the Gabor frames and wavelet frames on local fields.