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Interpolation of functions from generalized Paley–Wiener spaces |
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| Authors: | Yu. Lyubarskii W.R. Madych |
| Affiliation: | aDepartment of Mathematical Sciences, Norwegian University of Sciences and Technology, A.Getz v. 1., Trondheim, 7491, Norway;bDepartment of Mathematics, University of Connecticut, Storrs, CT 06269-3009, USA |
| Abstract: | We consider the problem of reconstruction of functions f from generalized Paley–Wiener spaces in terms of their values on complete interpolating sequence {zn}. We characterize the set of data sequences {f(zn)} and exhibit an explicit solution to the problem. Our development involves the solution of a particular problem. |
| Keywords: | Paley— Wiener spaces Complete interpolating sequences problem Divided differences |
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