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math.NA2018
Zernike Polynomials: Evaluation, Quadrature, and Interpolation
Philip Greengard, Kirill Serkh
Zernike polynomials are a basis of orthogonal polynomials on the unit disk that are a natural basis for representing smooth functions. They arise in a number of applications includ…
math.NA2018★ 2 cited
Generalized prolate spheroidal functions: algorithms and analysis
Philip Greengard
Generalized prolate spheroidal functions (GPSFs) arise naturally in the study of bandlimited functions as the eigenfunctions of a certain truncated Fourier transform. In one dimens…