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on the frames by multiplication and irregular frames of translates on lca groups
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نویسنده
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seyedi n.s. ,mortazavizadeh m. ,kamyabi gol r. a.
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منبع
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wavelets and linear algebra - 2021 - دوره : 8 - شماره : 1 - صفحه:7 -16
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چکیده
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Let $x$ be a measure space and let $e$ be a measurable subset of $x$ with finite positive measure. in this paper, we investigate frame and riesz basis properties of a family of functions multiplied by another measurable function in $l^2(e)$. also, we study the equivalent conditions for a system of translates to be a bessel family in $l^2(g)$ and to be a frame for $p_e$ (the space of the band limited functions). finally, we study the properties of frames of translates that preserved by convolution.
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کلیدواژه
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locally compact abelian group ,frame by multiplication ,irregular frame of translates
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آدرس
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ferdowsi university of mashhad, department of pure mathematics, iran, ferdowsi university of mashhad, department of pure mathematics, iran, ferdowsi university of mashhad, department of pure mathematics, iran
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پست الکترونیکی
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kamyabi@um.ac.ir
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دربارهٔ قابهای ضربی و قاب انتقالات نامنظم روی گروههای موضعاً فشردهٔ آبلی
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Authors
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سیدی نجمه سادات
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Abstract
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Keywords
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