Interpolation in Bernstein and Paley-Wiener spaces |
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| Authors: | Alexander Olevskii Alexander Ulanovskii |
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| Institution: | a School of Mathematics, Tel Aviv University, Ramat Aviv, 69978 Israel
b Stavanger University, 4036 Stavanger, Norway |
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| Abstract: | We consider interpolation of discrete functions by continuous ones with restriction on the size of spectra. We discuss a sharp contrast between the cases of compact and unbounded spectra. In particular we construct ‘universal’ spectra of small measure which deliver positive solution of the interpolation problem in Bernstein spaces for every discrete sequence of knots. |
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| Keywords: | Paley-Wiener space Bernstein space Set of interpolation Uniform minimality of exponential systems |
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