Approximation of Gaussians by spherical Gauss-Laguerre basis in the weighted Hilbert space
DOI10.1553/etna_vol52s249zbMath1450.42015OpenAlexW3030009238MaRDI QIDQ2208920
Nadiia Derevianko, Jürgen Prestin
Publication date: 28 October 2020
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol52/abstract.php?vol=52&pages=249-269
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Spherical harmonics (33C55)
Cites Work
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- Spherical harmonics and approximations on the unit sphere. An introduction
- Nonlinear widths of classes of smooth functions defined on the unit sphere in \(\mathbb R^d\)
- Asymptotic expansions of gamma and related functions, binomial coefficients, inequalities and means
- Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Orthogonal Polynomials of Several Variables
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