Descripción
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The aim of this article is to derive a sampling theory in U -invariant subspaces of a separable Hilbert space H where U denotes a unitary operator defined on H.Tothis end, we use some special dual frames for L2(0, 1), and the fact that any U -invariant subspace with stable generator is the image of L2(0, 1) by means of a bounded invert-ible operator. The used mathematical technique mimics some previous sampling work for shift-invariant subspaces of L2(R). Thus, sampling frame expansions in U -invariant spaces are obtained. In order to generalize convolution systems and deal with the time-jitter error in this new setting we consider a continuous group of unitary operators which includes the operator U . | |
Internacional
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Si |
JCR del ISI
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Si |
Título de la revista
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Analysis And Applications |
ISSN
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0219-5305 |
Factor de impacto JCR
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1,5 |
Información de impacto
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Volumen
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13 |
DOI
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Número de revista
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3 |
Desde la página
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303 |
Hasta la página
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329 |
Mes
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SIN MES |
Ranking
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