Approximation in Hankel Sobolev space by circular prolate spheroidal series (Q6669583)

scientific article; zbMATH DE number 7973304

Language	Label	Description	Also known as
English	Approximation in Hankel Sobolev space by circular prolate spheroidal series	scientific article; zbMATH DE number 7973304

Statements

instance of

scholarly article

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title

Approximation in Hankel Sobolev space by circular prolate spheroidal series (English)

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author

Mourad Boulsane

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published in

The Journal of Fourier Analysis and Applications

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publication date

22 January 2025

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zbMATH Keywords

finite Hankel transform operator

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eigenfunctions

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eigenvalues

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circular prolate spheroidal wave functions

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Hankel Sobolev space

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Inequalities for the gamma function

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Uniform approximation and explicit estimates for the prolate spheroidal wave functions

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Uniform bounds of prolate spheroidal wave functions and eigenvalues decay

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Non-asymptotic behavior and the distribution of the spectrum of the finite Hankel transform operator

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The finite Hankel transform operator: some explicit and local estimates of the eigenfunctions and eigenvalues decay rates

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Mean convergence of prolate spheroidal series and their extensions

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Uniform upper and lower bounds on the zeros of Bessel functions of the first kind

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Some recent results on the zeros of Bessel functions and orthogonal polynomials

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Q5820721

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The Mean Convergence of Fourier-Bessel Series

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Reconstruction from the Fourier transform on the ball via prolate spheroidal wave functions

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Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions

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Asymptotic behaviors and numerical computations of the eigenfunctions and eigenvalues associated with the classical and circular prolate spheroidal wave functions

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Spectral analysis of the finite Hankel transform and circular prolate spheroidal wave functions

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Weighted finite Fourier transform operator: uniform approximations of the eigenfunctions, eigenvalues decay and behaviour

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Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems

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Data-Driven Basis for Reconstructing the Contrast in Inverse Scattering: Picard Criterion, Regularity, Regularization, and Stability

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Jacobi Polynomials, Weighted Sobolev Spaces and Approximation Results of Some Singularities

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Upper bound on √x Jν(x) and its applications

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Q4059363

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Q3579593

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Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions

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Further spectral properties of the weighted finite Fourier transform operator and approximation in weighted Sobolev spaces

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Analysis of spectral approximations using prolate spheroidal wave functions

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A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids

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Q5562752

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00041-024-10122-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:6669583