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Sampling formulas for one-parameter groups of operators in Banach spaces

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Publication:2817763
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zbMath1346.94082arXiv1403.0292MaRDI QIDQ2817763

Isaac Z. Pesenson

Publication date: 2 September 2016

Full work available at URL: https://arxiv.org/abs/1403.0292


zbMATH Keywords

one-parameter groups of operatorsexponential and Bernstein vectorsregular and irregular sampling theorems for entire functions of exponential type


Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Groups and semigroups of linear operators (47D03) Sampling theory in information and communication theory (94A20)


Related Items (6)

Half sampling on bipartite graphs ⋮ Sampling and interpolation for the discrete Hilbert and Kak–Hilbert transforms ⋮ To multidimensional Mellin analysis: Besov spaces, \(K\)-functor, approximations, frames ⋮ Integration of polar-analytic functions and applications to Boas' differentiation formula and Bernstein's inequality in Mellin setting ⋮ Valiron's interpolation formula and a derivative sampling formula in the Mellin setting acquired via polar-analytic functions ⋮ Geometric space-frequency analysis on manifolds







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