Generalized Prolate Spheroidal Wave Functions: Spectral Analysis and Approximation of Almost Band-Limited Functions
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[1] Say Song Goh,et al. Extension principles for tight wavelet frames of periodic functions , 2008 .
[2] G. Szegő. Zeros of orthogonal polynomials , 1939 .
[3] Ronald F. Boisvert,et al. NIST Handbook of Mathematical Functions , 2010 .
[4] D. Slepian. Prolate spheroidal wave functions, Fourier analysis and uncertainty — IV: Extensions to many dimensions; generalized prolate spheroidal functions , 1964 .
[5] Li-Lian Wang,et al. Analysis of spectral approximations using prolate spheroidal wave functions , 2009, Math. Comput..
[6] V. Rokhlin,et al. Prolate spheroidal wavefunctions, quadrature and interpolation , 2001 .
[7] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .
[8] H. Pollak,et al. Prolate spheroidal wave functions, fourier analysis and uncertainty — III: The dimension of the space of essentially time- and band-limited signals , 1962 .
[9] A. Bonami,et al. Approximations in Sobolev Spaces by Prolate Spheroidal Wave Functions , 2015, 1509.02651.
[10] C. Niven. V. On the conduction of heat in ellipsoids of revolution , 1880, Philosophical Transactions of the Royal Society of London.
[11] Li-Lian Wang,et al. A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids , 2010 .
[12] Necdet Batir,et al. Inequalities for the gamma function , 2008 .
[13] Abderrazek Karoui,et al. Spectral Decay of Time and Frequency Limiting Operator , 2015 .
[14] J. Boyd. Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms , 2004 .
[15] D. Slepian,et al. Prolate spheroidal wave functions, fourier analysis and uncertainty — II , 1961 .
[16] George E. Andrews,et al. Special Functions: Partitions , 1999 .
[17] J. Lakey,et al. Duration and Bandwidth Limiting: Prolate Functions, Sampling, and Applications , 2011 .
[18] D. Donev. Prolate Spheroidal Wave Functions , 2017 .
[19] John P. Boyd,et al. Approximation of an analytic function on a finite real interval by a bandlimited function and conjectures on properties of prolate spheroidal functions , 2003 .
[20] J. Lakey,et al. Duration and Bandwidth Limiting , 2012 .
[21] Abderrazek Karoui,et al. Uniform bounds of prolate spheroidal wave functions and eigenvalues decay , 2014 .
[22] Abderrazek Karoui,et al. New efficient methods of computing the prolate spheroidal wave functions and their corresponding eigenvalues , 2008 .
[23] Andrei Osipov. Certain inequalities involving prolate spheroidal wave functions and associated quantities , 2013 .
[24] A. Bonami,et al. Uniform Approximation and Explicit Estimates for the Prolate Spheroidal Wave Functions , 2014, 1405.3676.
[25] A. Bonami,et al. Spectral decay of the sinc kernel operator and approximations by Prolate Spheroidal Wave Functions. , 2010, 1012.3881.