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Abstract
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| The classical Kramer sampling theorem provides a method for obtaining orthog- onal sampling formulas. Besides, it has been the cornerstone for a significant mathematical literature on the topic of sampling theorems associated with differential and difference prob- lems. 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 ex- amples. 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. | |
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International
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Si |
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JCR
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Si |
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Title
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Acta Applicandae Mathematicae |
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ISBN
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0167-8019 |
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Impact factor JCR
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0,702 |
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Impact info
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Volume
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133 |
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10.1007/s10440-013-9860-1 |
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Journal number
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1 |
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From page
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87 |
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To page
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111 |
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Month
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SIN MES |
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Ranking
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