Banach frames in coorbit spaces consisting of elements which are invariant under symmetry groups

DOI10.1016/j.acha.2004.09.002zbMath1087.46026OpenAlexW1987373096MaRDI QIDQ1765951

Holger Rauhut

Publication date: 23 February 2005

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2004.09.002

zbMATH Keywords

atomic decompositionsymmetry groupradial functionsfunction spacesGabor framewavelet frameBanach framerepresentations of locally compact groupscoorbit space

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) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items (5)

WAVELET TRANSFORMS ASSOCIATED TO GROUP REPRESENTATIONS AND FUNCTIONS INVARIANT UNDER SYMMETRY GROUPS ⋮ Frames arising from irreducible solvable actions. I. ⋮ Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type ⋮ Spectrograms and time-frequency localized functions in the Hankel setting ⋮ Coorbit Theory and Bergman Spaces

Cites Work

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