Displaying similar documents to “Density theorems for sampling and interpolation in the Bargmann-Fock space I.”

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.

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...

Sampling measures.

Joaquim Ortega-Cerdà (1998)

Publicacions Matemàtiques

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We give a description of all measures such that for any function in a weighted Fock spaces the L norm with respect to the measure is equivalent to the usual norm in the space. We do so by a process of discretization that reduces the problem to the description of sampling sequences. The same kind of result holds for weighted Bergman spaces and the Paley-Wiener space.

Image sampling with quasicrystals.

Grundland, Mark, Patera, Jirí, Masáková, Zuzana, Dodgson, Neil A. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions

Paweł Domański, Mikael Lindström (2002)

Annales Polonici Mathematici

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We give an elementary approach which allows us to evaluate Seip's conditions characterizing interpolating and sampling sequences in weighted Bergman spaces of infinite order for a wide class of weights depending on the distance to the boundary of the domain. Our results also give some information on cases not covered by Seip's theory. Moreover, we obtain new criteria for weights to be essential.

Über Interpolation.

Otto Braunschmidt (1943)

Journal für die reine und angewandte Mathematik

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Fixed precision optimal allocation in two-stage sampling

Wojciech Niemiro, Jacek Wesołowski (2001)

Applicationes Mathematicae

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Two-stage sampling schemes arise in survey sampling, especially in situations when the complete update of the frame is difficult. In this paper we solve the problem of fixed precision optimal allocation in two special two-stage sampling schemes. The solution is based on reducing the original question to an eigenvalue problem and then using the Perron-Frobenius theorem.