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• W1835390889 abstract "The aim of this paper is to investigate the quality of approximation of almost time- and almost band-limited functions by its expansion in two classical orthogonal polynomials bases: the Hermite basis and the ultraspherical polynomials bases (which include Legendre and Chebyshev bases as particular cases). As a corollary, this allows us to obtain the quality of approximation in the L2-Sobolev space by these orthogonal polynomials bases. Also, we obtain the rate of convergence of the Legendre series expansion of the prolate spheroidal wave functions." @default.
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• W1835390889 date "2016-12-01" @default.
• W1835390889 modified "2023-10-15" @default.
• W1835390889 title "The approximation of almost time- and band-limited functions by their expansion in some orthogonal polynomials bases" @default.
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• W1835390889 doi "https://doi.org/10.1016/j.jat.2016.08.002" @default.
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