Kolmogorov and Linear Widths of Balls in Sobolev Spaces on Compact Manifolds

DOI10.7146/math.scand.a-18005zbMath1315.46032arXiv1104.0632OpenAlexW2255198241MaRDI QIDQ2925743

Daryl Geller, Isaac Z. Pesenson

Publication date: 17 October 2014

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0632

zbMATH Keywords

\(n\)-widthsSobolev spaces on compact manifolds

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (8)

Metric entropy, \(n\)-widths, and sampling of functions on manifolds ⋮ Non-linear manifold reduced-order models with convolutional autoencoders and reduced over-collocation method ⋮ Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians ⋮ Parseval Space-Frequency Localized Frames on Sub-Riemannian Compact Homogeneous Manifolds ⋮ Geometric space-frequency analysis on manifolds ⋮ Cubature Formulas and Discrete Fourier Transform on Compact Manifolds ⋮ Estimates of Kolmogorov, Gelfand and linear 𝑛-widths on compact Riemannian manifolds ⋮ Sampling, splines and frames on compact manifolds

This page was built for publication: Kolmogorov and Linear Widths of Balls in Sobolev Spaces on Compact Manifolds