Prolate spheroidal wavefunctions, quadrature and interpolation

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On Generalized Gaussian Quadratures for Exponentials and Their Applications (2002, methodology): “In order to obtain appropriate estimates, one can use the recurrence relations derived in [ 29 ].”
Regridding reconstruction algorithm for real-time tomographic imaging (2012, methodology): “19, 1029–1037 transforms at run time, using known rapidly converging expansions of PSWFs in terms of Legendre polynomials (Van Buren, 1975; Xiao et al., 2001).”
Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis (2013, background): “[11, 21, 22] and recent works in [2, 3, 13, 19, 20, 30, 31, 32] have shown that the PSWFs are optimal tools for approximating bandlimited functions.”
Approximation of bandlimited functions (2006, methodology): “Copious numerical examples and applications of quadratures generated by both methods can be found in [5].”
Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit (2007, background): “Keywords: Prolate spheroidal wave functions; Band-limit; Asymptotic; Approximation”