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• W2024457004 abstract "A notion of Paley-Wiener spaces on combinatorial graphs is introduced. It is shown that functions from some of these spaces are uniquely determined by their values on some sets of vertices which are called the uniqueness sets. Such uniqueness sets are described in terms of Poincare-Wirtinger-type inequalities. A reconstruction algorithm of Paley-Wiener functions from uniqueness sets which uses the idea of frames in Hilbert spaces is developed. Special consideration is given to the $n$-dimensional lattice, homogeneous trees, and eigenvalue and eigenfunction problems on finite graphs." @default.
• W2024457004 created "2016-06-24" @default.
• W2024457004 creator A5044644286 @default.
• W2024457004 date "2008-05-21" @default.
• W2024457004 modified "2023-10-14" @default.
• W2024457004 title "Sampling in Paley-Wiener spaces on combinatorial graphs" @default.
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• W2024457004 doi "https://doi.org/10.1090/s0002-9947-08-04511-x" @default.
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