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A New Approach to Continuous Riesz Bases
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نویسنده
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Arefijamaal A.A. ,Kamyabi Gol R.A. ,Raisi Tousi R. ,Tavallaei N.
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منبع
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journal of sciences islamic republic of iran - 2013 - دوره : 24 - شماره : 1 - صفحه:63 -69
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چکیده
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This paper deals with continuous frames and continuous riesz bases. we introduce continuous riesz bases and give some equivalent conditions for a continuous frame to be a continuous riesz basis. it is certainly possible for a continuous frame to have only one dual. such a continuous frame is called a riesz-type frame [13]. we show that a continuous frame is riesz-type if and only if it is a continuous riesz basis. finally we find a measure with respect to which, a continuous wavelet frame is a continuous riesz basis.
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کلیدواژه
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Continuous frame ,Continuous orthonormal basis ,Continuous Riesz basis
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آدرس
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1Department of Pure Mathematics, Faculty of Mathematics and Computer Sciences,, ایران, ferdowsi university of mashhad, ایران, ferdowsi university of mashhad, ایران, damghan university, ایران
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Authors
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