High-frequency asymptotic expansions for certain prolate spheroidal wave functions
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Publication:1879332
DOI10.1007/s00041-003-0906-zzbMath1054.33017OpenAlexW2071565598MaRDI QIDQ1879332
Publication date: 22 September 2004
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-003-0906-z
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Asymptotic expansions of solutions to PDEs (35C20) Fourier integral operators applied to PDEs (35S30) Lamé, Mathieu, and spheroidal wave functions (33E10)
Related Items (10)
The nonconvergence of \(h\)-refinement in prolate elements ⋮ New efficient methods of computing the prolate spheroidal wave functions and their corresponding eigenvalues ⋮ Unidimensional and bidimensional prolate spheroidal wave functions and applications ⋮ Asymptotics of prolate spheroidal wave functions ⋮ Nonperiodic trigonometric polynomial approximation ⋮ Certain upper bounds on the eigenvalues associated with prolate spheroidal wave functions ⋮ Certain inequalities involving prolate spheroidal wave functions and associated quantities ⋮ A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids ⋮ Ball prolate spheroidal wave functions in arbitrary dimensions ⋮ Non-asymptotic behavior and the distribution of the spectrum of the finite Hankel transform operator
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