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Descripción
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| The aim of this paper is to derive stable generalized sampling in a shift-invariant space with n stable generators. This is done in the light of the theory of frames in the product Hilbert space L^2_n(0,1):=L^2(0,1)x¿..xL^2(0,1) (n times). The generalized samples are expressed as the frame coefficients of an appropriate function in L^2_n(0,1) with respect to some particular frame in L^2_n(0,1). Since any multiply stable generated shift-invariant space is the image of L^2_n(0,1) by means of a bounded invertible operator, the generalized sampling is obtained from some dual frame expansions in L^2_n(0,1). An example in the setting of the Hermite cubic splines is exhibited. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
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ISSN
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0022-247X |
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Factor de impacto JCR
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0,872 |
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Información de impacto
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Volumen
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237 |
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DOI
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10.1016/j.jmaa.2007.03.083 |
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Número de revista
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1 |
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Desde la página
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69 |
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Hasta la página
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84 |
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Mes
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ENERO |
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Ranking
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