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Abstract
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| The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. A challenging problem is to characterize the situations when these sampling formulas can be written as Lagrange-type interpolation series. This article gives a necessary and sufficient condition to ensure that when the sampling formula is associated with an analytic Kramer kernel, then it can be expressed as a quasi Lagrange-type interpolation series; this latter form is a minor but significant modification of a Lagrange-type interpolation series. Finally, a link with the theory of de Branges spaces is established. | |
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International
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Si |
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JCR
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No |
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Title
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Results in Mathematics |
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ISBN
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1422-6383 |
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Impact factor JCR
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0 |
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Impact info
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Volume
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51 |
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Journal number
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3 |
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From page
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215 |
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To page
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228 |
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Month
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ENERO |
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Ranking
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