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Construction of frames for shift-invariant spaces
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نویسنده
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pilipović s. ,simić s.
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منبع
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journal of function spaces - 2013 - دوره : 2013 - شماره : 0
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چکیده
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We construct a sequence φi(·-j)j∈,i=1,r which constitutes a p-frame for the weighted shift-invariant space vp(φ)= i=1r jci(j)φi(·-jci(j)jp,i=1,r,p∈[1,∞],and generates a closed shift-invariant subspace of lp(r). the first construction is obtained by choosing functions φi,i=1,r,with compactly supported fourier transforms φi,i=1,.,r. the second construction,with compactly supported φi,i=1,r,gives the riesz basis. © 2013 stevan pilipović and suzana simić.
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آدرس
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department of mathematics and informatics,faculty of science,university of novi sad,trg dositeja obradovica 4, Serbia, department of mathematics and informatics,faculty of science,university of kragujevac,radoja domanovića 12, Serbia
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Authors
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