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Linear Approximation and Reproduction of Polynomials by Wilson Bases
Journal of Fourier Analysis and Applications, 2002Wilson bases are created multiplying trigonometric functions by translates of a window function with good time/frequency localization. This article investigates the approximation of functions from Sobolev spaces by partial sums of the Wilson basis expansion. In particular, it is shown that the approximation can be improved if polynomials are reproduced.
openaire +3 more sources
Recursive formula to compute Zernike radial polynomials
Optics Letters, 2013Barmak Honarvar Shakibaei Asli
exaly
Resolving capacity of the circular Zernike polynomials
Optics Express, 2015N I Chkhalo, Mikhail Toropov
exaly
Coefficients of Wronskian Hermite polynomials
Studies in Applied Mathematics, 2020Clare Dunning+2 more
exaly
Orthogonal polynomials derived from the tridiagonal representation approach
Journal of Mathematical Physics, 2018A D Alhaidari
exaly