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Displaying similar documents to “On interpolation and sampling in Hilbert spaces of analytic functions.”

Sampling and interpolation in the Paley-Wiener spaces L , 0 < p ≤ 1.

Kristin M. Flornes (1998)

Publicacions Matemàtiques

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Following Beurling's ideas concerning sampling and interpolation in the Paley-Wiener space L , we find necessary and sufficient density conditions for sets of sampling and interpolation in the Paley-Wiener spaces L for 0 < p ≤ 1.

Über Interpolation.

Otto Braunschmidt (1943)

Journal für die reine und angewandte Mathematik

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Weak conditions for interpolation in holomorphic spaces.

Alexander P Schuster, Kristian Seip (2000)

Publicacions Matemàtiques

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An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in L spaces of holomorphic functions of Paley-Wiener-type when 0 < p ≤ 1, of Fock-type when 0 < p ≤ 2, and of Bergman-type when 0 < p < ∞. Moreover, if a uniformly discrete sequence has a certain uniform non-uniqueness property with respect to any such L space (0 < p < ∞), then it...