Needlets liberated
From MaRDI portal
Publication:6657425
DOI10.1016/J.ACHA.2024.101693MaRDI QIDQ6657425
Peter J. Grabner, Johann S. Brauchart, Robert S. Womersley, I. H. Sloan
Publication date: 6 January 2025
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Rate of convergence, degree of approximation (41A25) Numerical quadrature and cubature formulas (65D32)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Optimal asymptotic bounds for spherical designs
- A characterization of Sobolev spaces on the sphere and an extension of Stolarsky's invariance principle to arbitrary smoothness
- Numerical integration with polynomial exactness over a spherical cap
- Wendland functions with increasing smoothness converge to a Gaussian
- On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms
- Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
- Numerical integration over spheres of arbitrary dimension
- Extremal systems of points and numerical integration on the sphere
- Minimal discrete energy on the sphere
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Fully discrete needlet approximation on the sphere
- On filtered polynomial approximation on the sphere
- A lower bound for the worst-case cubature error on spheres of arbitrary dimension
- Cubature over the sphere \(S^{2}\) in Sobolev spaces of arbitrary order
- Spherical harmonics
- Optimal lower bounds for cubature error on the sphere \(S^2\)
- A simple proof of Stolarsky's invariance principle
- Multiscale Analysis in Sobolev Spaces on the Sphere
- QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere
- Localized Tight Frames on Spheres
- Multivariate interpolation of large sets of scattered data
- Equidistribution on the Sphere
- Explicit Families of Functions on the Sphere with Exactly Known Sobolev Space Smoothness
- Efficient Spherical Designs with Good Geometric Properties
- Worst-case errors in a Sobolev space setting for cubature over the sphere S2
- Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
- Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten
- Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere
This page was built for publication: Needlets liberated
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6657425)
