Interpolation formulas with derivatives in de Branges spaces (Q2832999)
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scientific article; zbMATH DE number 6653217
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interpolation formulas with derivatives in de Branges spaces |
scientific article; zbMATH DE number 6653217 |
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Interpolation formulas with derivatives in de Branges spaces (English)
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16 November 2016
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de Branges spaces
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Hilbert spaces of entire functions
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exponential type
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interpolation formulas
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Bessel functions
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homogeneous spaces
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extremal functions
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The author derives an interpolation formula involving derivatives for entire functions of exponential type in the setting of quite general \(L^p\) de Branges spaces, which extends the interpolation formula obtained by \textit{J. D. Vaaler} [Bull. Am. Math. Soc., New Ser. 12, 183--216 (1985; Zbl 0575.42003)].NEWLINENEWLINEAs applications, the author also derives interpolation formulas for a certain class of homogeneous de Branges spaces of entire functions and obtains a uniqueness result for extremal one-sided band-limited approximations of radial functions in Euclidean spaces.
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