Characterizations of function spaces on the sphere using frames

DOI10.1090/S0002-9947-06-04030-XzbMath1184.42024arXivmath/0510084OpenAlexW2592321346MaRDI QIDQ3420280

Feng Dai

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510084

zbMATH Keywords

spherical harmonicsBesov spaceswavelet decompositionnonlinear approximationspherical frames

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) General harmonic expansions, frames (42C15)

Related Items (16)

Greedy algorithm with regard to the needlet system on the sphere ⋮ Multiresolution analysis and adaptive estimation on a sphere using stereographic wavelets ⋮ Some notes on weaving frames in Hilbert spaces ⋮ Inequalities on weighted Paley-Wiener space with respect to doubling weights and \(A_\infty\) weights ⋮ Widths of Besov classes of generalized smoothness on the sphere ⋮ INTERPOLATING WAVELETS ON THE SPHERE ⋮ Some new results on the construction and stability of K-g-frames in Hilbert spaces ⋮ Characterization of Function Spaces Using Wavelets ⋮ Quadrature in Besov spaces on the Euclidean sphere ⋮ Smooth orthogonal projections on sphere ⋮ $L^p$ Bernstein estimates and approximation by spherical basis functions ⋮ Positive cubature formulas and Marcinkiewicz-Zygmund inequalities on spherical caps ⋮ A SURVEY OF POLYNOMIAL APPROXIMATION ON THE SPHERE ⋮ Nonlinear $n$-term approximation of harmonic functions from shifts of the Newtonian kernel ⋮ A note on operator perturbation of woven frames ⋮ Some New Results of Weaving K-Frames in Hilbert Spaces

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