On the convergence of expansions in polyharmonic eigenfunctions

DOI10.1016/J.JAT.2011.06.002zbMath1226.42018OpenAlexW2027525228MaRDI QIDQ643344

Ben Adcock

Publication date: 28 October 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.06.002

zbMATH Keywords

rate of convergenceorthogonal expansionsdegree of convergencepolyharmonic eigenfunctions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (2)

Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold ⋮ Gibbs phenomenon and its removal for a class of orthogonal expansions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gibbs phenomenon and its removal for a class of orthogonal expansions
• Multivariate modified Fourier series and application to boundary value problems
• Equiconvergence theorems for differential operators
• Univariate modified Fourier methods for second order boundary value problems
• On the convergence rate of a modified Fourier series
• Convergence acceleration of modified Fourier series in one or more dimensions
• From high oscillation to rapid approximation V: the equilateral triangle
• From high oscillation to rapid approximation II: expansions in Birkhoff series
• From high oscillation to rapid approximation I: modified Fourier expansions
• From high oscillation to rapid approximation III: multivariate expansions
• The spectral problem for a class of highly oscillatory Fredholm integral operators
• Efficient quadrature of highly oscillatory integrals using derivatives
• Equivalent Norms for Sobolev Spaces

This page was built for publication: On the convergence of expansions in polyharmonic eigenfunctions