A priori \(L^2\)-error estimates for approximations of functions on compact manifolds

DOI10.1007/s00009-014-0393-2zbMath1315.58007OpenAlexW2084911070MaRDI QIDQ2018692

Marcel Nicolau, David Marin Perez

Publication date: 25 March 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0393-2

zbMATH Keywords

Fourier analysisRiemannian manifoldsspherical harmonicsapproximation theoryLaplacian operator

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) 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) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

• Spherical harmonics and approximations on the unit sphere. An introduction
• An uncertainty principle for the Dunkl transform
• DISCRETE LAPLACE–BELTRAMI OPERATOR ON SPHERE AND OPTIMAL SPHERICAL TRIANGULATIONS

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