Lattice Point Identities and Shannon-Type Sampling

DOI10.1201/9780429355103OpenAlexW2971028949MaRDI QIDQ5242960

Willi Freeden, M. Zuhair Nashed

Publication date: 8 November 2019

Full work available at URL: https://doi.org/10.1201/9780429355103

zbMATH Keywords

elliptic partial differential equationsPaley-Wiener theoryconstructive approximationmultivariate signalsGaussian circle problemFourier inversion theoryHardy conjectureHardy-Landau lattice point identity

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Research exposition (monographs, survey articles) pertaining to information and communication theory (94-02) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Lattice points in specified regions (11P21) Sampling theory in information and communication theory (94A20)

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