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Needlets liberated (Q6657425)

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scientific article; zbMATH DE number 7962253

Language	Label	Description	Also known as
English	Needlets liberated	scientific article; zbMATH DE number 7962253

Statements

scholarly article

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Needlets liberated (English)

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Johann S. Brauchart

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Peter J. Grabner

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Robert S. Womersley

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Applied and Computational Harmonic Analysis

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publication date

6 January 2025

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zbMATH Keywords

generalized needlets

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sphere

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QMC designs

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cubature

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filtered hyperinterpolation

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convergence order

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MaRDI profile type

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Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere

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Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten

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Optimal asymptotic bounds for spherical designs

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Explicit Families of Functions on the Sphere with Exactly Known Sobolev Space Smoothness

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A characterization of Sobolev spaces on the sphere and an extension of Stolarsky's invariance principle to arbitrary smoothness

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A simple proof of Stolarsky’s invariance principle

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Numerical integration over spheres of arbitrary dimension

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QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere

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Wendland functions with increasing smoothness converge to a Gaussian

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Equidistribution on the Sphere

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On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms

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A lower bound for the worst-case cubature error on spheres of arbitrary dimension

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Optimal lower bounds for cubature error on the sphere \(S^2\)

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Worst-case errors in a Sobolev space setting for cubature over the sphere <i>S</i><sup>2</sup>

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Cubature over the sphere \(S^{2}\) in Sobolev spaces of arbitrary order

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Numerical integration with polynomial exactness over a spherical cap

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Multiscale Analysis in Sobolev Spaces on the Sphere

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Spherical harmonics

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Decomposition of Besov and Triebel-Lizorkin spaces on the sphere

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Localized Tight Frames on Spheres

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Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions

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Minimal discrete energy on the sphere

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Multivariate interpolation of large sets of scattered data

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Extremal systems of points and numerical integration on the sphere

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On filtered polynomial approximation on the sphere

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Fully discrete needlet approximation on the sphere

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Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

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Efficient Spherical Designs with Good Geometric Properties

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Identifiers

10.1016/j.acha.2024.101693

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6657425

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