Coorbit spaces for dual pairs

DOI10.1016/j.acha.2011.01.004zbMath1221.43003OpenAlexW2029970426MaRDI QIDQ550499

Jens Gerlach Christensen, Gestur Olafsson

Publication date: 11 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.acha.2011.01.004

zbMATH Keywords

coorbit spacesGelfand triplesrepresentation theory of locally compact groups

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Other representations of locally compact groups (22D12)

Related Items (21)

Coorbit Description and Atomic Decomposition of Besov Spaces ⋮ On dual molecules and convolution-dominated operators ⋮ Coorbit spaces and wavelet coefficient decay over general dilation groups ⋮ Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups. I ⋮ Continuous and discrete frames generated by the evolution flow of the Schrödinger equation ⋮ Dilational symmetries of decomposition and coorbit spaces ⋮ Construction of Multiresolution Analysis Based on Localized Reproducing Kernels ⋮ Unnamed Item ⋮ Sampling in reproducing kernel Banach spaces on Lie groups ⋮ Geometric space-frequency analysis on manifolds ⋮ Frames arising from irreducible solvable actions. I. ⋮ Coorbit spaces with voice in a Fréchet space ⋮ Coorbits for projective representations with an application to Bergman spaces ⋮ Vanishing moment conditions for wavelet atoms in higher dimensions ⋮ Atomic decompositions of mixed norm Bergman spaces on tube type domains ⋮ New atomic decompositions of Bergman spaces on bounded symmetric domains ⋮ Compactly supported bounded frames on Lie groups ⋮ Coorbit spaces associated to integrably admissible dilation groups ⋮ Examples of coorbit spaces for dual pairs ⋮ Kernel theorems in coorbit theory ⋮ Coorbit Theory and Bergman Spaces

Cites Work

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• Frames and coorbit theory on homogeneous spaces with a special guidance on the sphere
• Sampling theorems on locally compact groups from oscillation estimates
• Coherent States from Nonunitary Representations
• On Automorphism Groups of Homogeneous Complex Manifolds
• Littlewood–Paley decompositions related to symmetric cones and Bergman projections in tube domains
• Wavelets from Square-Integrable Representations
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• Boundedness of Bergman projections on tube domains over light cones
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