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- W3136176557 abstract "Let Bp?, 1 ? p < ?,? > 0, denote the space of all f ?Lp(R) such that the Fourier transform of f (in the sense of distributions) vanishes outside [-?,?]. The classical sampling theorem states that each f ? Bp? may be reconstructed exactly from its sample values at equispaced sampling points {?m=?}m?Z spaced by ?/?. Reconstruction is also possible from sample values at sampling points {??m/?}m with certain 1 < ? ? 2 if we know f(??m/?) and f?(??m/?), m ? Z. In this paper we present sampling series for functions of several variables. These series involves samples of functions and their partial derivatives." @default.
- W3136176557 created "2021-03-29" @default.
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- W3136176557 date "2020-01-01" @default.
- W3136176557 modified "2023-10-16" @default.
- W3136176557 title "On a sampling expansion with partial derivatives for functions of several variables" @default.
- W3136176557 doi "https://doi.org/10.2298/fil2010339n" @default.
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