Abstract
© 2014, Springer Basel. Given a C2-function f on a compact riemannian manifold (X, g) we give a set of frequencies L = Lf (ε) depending on a small parameter ε > 0 such that the relative L2-error(Formula presented.) is bounded above by ε, where fL denotes the L-partial sum of the Fourier series f with respect to an orthonormal basis of L2(X) constituted by eigenfunctions of the Laplacian operator Δ associated to the metric g.
Original language | English |
---|---|
Pages (from-to) | 51-62 |
Journal | Mediterranean Journal of Mathematics |
Volume | 12 |
DOIs | |
Publication status | Published - 1 Jan 2014 |
Keywords
- Approximation theory
- Fourier analysis
- Laplacian operator
- Riemannian manifolds
- Spherical Harmonics