Abstract
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The classical Kramer sampling theorem provides a method for obtaining or- thogonal sampling formulas. Besides, it has been the cornerstone for a significant mathematical literature on the topic of sampling theorems associated with differ- ential and difference problems. In this work we provide, in an unified way, new and old generalizations of this result corresponding to various different settings; all these generalizations are illustrated with examples. All the different situations along the paper share a basic approach: the functions to be sampled are obtaining by duality in a separable Hilbert space H through an H-valued kernel K defined on an appropriate domain. | |
International
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JCR
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Si |
Title
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Acta Applicandae Mathematicae |
ISBN
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0167-8019 |
Impact factor JCR
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0,985 |
Impact info
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Datos JCR del año 2012 |
Volume
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http://dx.doi.org/10.1007/s10440-013-9860-1 |
Journal number
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From page
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1 |
To page
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25 |
Month
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SIN MES |
Ranking
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