عنوان
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Frames Associated with Shift-invariant Spaces on Local Fields
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Wavelet frame, Gabor frame, Local field, Fourier transform
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چکیده
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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.
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پژوهشگران
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اصغر رحیمی (نفر سوم)، اویس احمد (نفر دوم)، فردوس احمد شاه (نفر اول)
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