A fast procedure for the construction of quadrature formulas for bandlimited functions

DOI10.1016/j.acha.2023.05.001arXiv2307.15754OpenAlexW4376126977MaRDI QIDQ6172174

Vladimir Rokhlin, Abinand Gopal

Publication date: 19 July 2023

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.15754

zbMATH Keywords

quadratureprolate spheroidal wave functionsbandlimited functions

Mathematics Subject Classification ID

Numerical analysis (65-XX) Computer science (68-XX)

Cites Work

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• Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation
• Approximation of bandlimited functions
• Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms
• Evaluation of small elements of the eigenvectors of certain symmetric tridiagonal matrices with high relative accuracy
• Prolate spheroidal wavefunctions, quadrature and interpolation
• A Fast Algorithm for the Calculation of the Roots of Special Functions
• Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions

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