An almost orthogonal radial wavelet expansion for radial distributions

DOI10.1007/s00041-001-4015-6zbMath0887.42031OpenAlexW2018757957MaRDI QIDQ1378926

Michael Frazier, Jay B. Epperson

Publication date: 11 March 1998

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59461

zbMATH Keywords

Sobolev spacesTriebel-Lizorkin spacesHardy spacesBesov spacesatomsLipschitz spacesmoleculessampling formulaexpansion for radial tempered distributionsradial wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Operations with distributions and generalized functions (46F10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (10)

Entropy numbers of Sobolev embeddings of radial Besov spaces. ⋮ The geometry and the analytic properties of isotropic multiresolution analysis ⋮ ON THE INTERPLAY OF REGULARITY AND DECAY IN CASE OF RADIAL FUNCTIONS I: INHOMOGENEOUS SPACES ⋮ On the interplay of regularity and decay in case of radial functions. II. Homogeneous spaces ⋮ Pointwise estimates for block-radial functions of Sobolev classes ⋮ Some properties of block-radial functions and Schrödinger type operators with block-radial potentials ⋮ Radial subspaces of Besov and Lizorkin-Triebel classes: Extended Strauss lemma and compactness of embeddings ⋮ Banach frames in coorbit spaces consisting of elements which are invariant under symmetry groups ⋮ Biorthogonal radial multiresolution in dimension three ⋮ Weighted embedding theorems for radial Besov and Triebel–Lizorkin spaces

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