The approximation of almost time- and band-limited functions by their expansion in some orthogonal polynomials bases

DOI10.1016/j.jat.2016.08.002zbMath1353.41002arXiv1501.03655OpenAlexW1835390889MaRDI QIDQ332229

Philippe Jaming, Susanna Spektor, Abderrazek Karoui

Publication date: 27 October 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03655

zbMATH Keywords

Chebyshev polynomialsHermite functionsLegendre polynomialsprolate spheroidal wave functionsalmost time and band limited functionsultra-spherical polynomials

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Approximation by polynomials (41A10) Numerical methods in Fourier analysis (65T99)

Related Items (6)

The finite Hankel transform operator: some explicit and local estimates of the eigenfunctions and eigenvalues decay rates ⋮ Sampling and reconstruction of signals in a reproducing kernel space with mixed norm ⋮ Random sampling and reconstruction of concentrated signals in a reproducing kernel space ⋮ Sampling the flow of a bandlimited function ⋮ Discrete prolate spheroidal wave functions: further spectral analysis and some related applications ⋮ Non-asymptotic behavior of the spectrum of the sinc-kernel operator and related applications

Uses Software

• DLMF

Cites Work

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