Old and New on the Laplace-Beltrami Derivative

DOI10.1080/01630563.2010.536285zbMath1222.33013OpenAlexW2081073340MaRDI QIDQ3083532

A. C. Piantella, Valdir A. Menegatto

Publication date: 22 March 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.536285

zbMATH Keywords

spherical harmonicsmodulus of smoothnessBeltrami-Laplace operatorspherical convolutionspherical shift

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Harmonic analysis on homogeneous spaces (43A85) Convolution, factorization for one variable harmonic analysis (42A85) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (5)

Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness ⋮ Laplace-Beltrami differentiability of positive definite kernels on the sphere ⋮ Eigenvalue and singular value estimates for integral operators: a unifying approach ⋮ Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere ⋮ Eigenvalue decay of positive integral operators on the sphere

Cites Work

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• Reproducing kernel Hilbert spaces associated with analytic translation-invariant Mercer kernels
• Analysis of spherical symmetries in Euclidean spaces
• Multivariate polynomial approximation
• Approximation on the sphere by weighted Fourier expansions
• Über die Approximationsordnung bei Kugelfunktionen und algebraischen Polynomen
• A note on equivalence of moduli of smoothness on the sphere
• Learning Theory
• Convergence for Summation Methods with Multipliers on the Sphere
• Harmonic Functions from a Complex Analysis Viewpoint
• Approximation by spherical convolution
• A modulus of smoothness on the unit sphere

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