Asymptotic behaviors and numerical computations of the eigenfunctions and eigenvalues associated with the classical and circular prolate spheroidal wave functions
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[1] Li-Lian Wang,et al. Analysis of spectral approximations using prolate spheroidal wave functions , 2009, Math. Comput..
[2] D. Slepian. Prolate spheroidal wave functions, Fourier analysis and uncertainty — IV: Extensions to many dimensions; generalized prolate spheroidal functions , 1964 .
[3] C. Aime,et al. Stellar coronagraphy with prolate apodized circular apertures , 2003 .
[4] D. Slepian. Some Asymptotic Expansions for Prolate Spheroidal Wave Functions , 1965 .
[5] Jan S. Hesthaven,et al. Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs , 2005, SIAM J. Numer. Anal..
[6] Say Song Goh,et al. Extension principles for tight wavelet frames of periodic functions , 2008 .
[7] M. Stephanov,et al. Random Matrices , 2005, hep-ph/0509286.
[8] D. Slepian,et al. Prolate spheroidal wave functions, fourier analysis and uncertainty — II , 1961 .
[9] M. Kolobov,et al. Quantum theory of super-resolution for optical systems with circular apertures , 2006 .
[10] G. Walter,et al. A new friendly method of computing prolate spheroidal wave functions and wavelets , 2005 .
[11] Li-Lian Wang,et al. A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids , 2010 .
[12] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .
[13] Gregory Beylkin,et al. On Generalized Gaussian Quadratures for Exponentials and Their Applications , 2002 .
[14] A. Fletcher,et al. Spheroidal Wave Functions , 1959 .
[15] Abderrazek Karoui,et al. New efficient methods of computing the prolate spheroidal wave functions and their corresponding eigenvalues , 2008 .
[16] Li-Lian Wang,et al. An improved estimate of PSWF approximation and approximation by Mathieu functions , 2011 .
[17] Abderrazek Karoui,et al. Spectral analysis of the finite Hankel transform and circular prolate spheroidal wave functions , 2009, J. Comput. Appl. Math..
[18] Jianli Wang,et al. Two dimensional prolate spheroidal wave functions for MRI. , 2002, Journal of magnetic resonance.
[19] J. Boyd. Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms , 2004 .
[20] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[21] 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 .
[22] V. B. Uvarov,et al. Special Functions of Mathematical Physics: A Unified Introduction with Applications , 1988 .
[23] George E. Andrews,et al. Special Functions: Partitions , 1999 .
[24] Lokenath Debnath. On certain integral transforms and their applications , 1964 .
[25] A. Bonami,et al. Uniform Estimates of the Prolate Spheroidal Wave Functions and Spectral Approximation in Sobolev Spaces , 2010 .
[26] Ian C. Moore,et al. Prolate spheroidal wave functions, an introduction to the Slepian series and its properties , 2004 .
[27] Wenbin Lin,et al. Pseudospectral method based on prolate spheroidal wave functions for semiconductor nanodevice simulation , 2006, Computer Physics Communications.