Descripción
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A finite sampling theory associated with a unitary representation of a finite non-abelian group G on a Hilbert space is established. The non-abelian group G is a knit product of two finite subgroups N and H where at least N or H is abelian. Sampling formulas where the samples are indexed by either N or H are obtained. Using suitable expressions for the involved samples, the problem is reduced to obtain dual frames in the Hilbert space l2(G) having a unitary invariance property; this is done by using matrix analysis techniques. An example involving dihedral groups illustrates the obtained sampling results. | |
Internacional
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Si |
JCR del ISI
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Si |
Título de la revista
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Mediterranean Journal of Mathematics |
ISSN
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1660-5446 |
Factor de impacto JCR
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1,216 |
Información de impacto
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Volumen
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16 |
DOI
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10.1007/s00009-019-1417-8 |
Número de revista
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146 |
Desde la página
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1 |
Hasta la página
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16 |
Mes
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SIN MES |
Ranking
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