Shearlet coorbit spaces: traces and embeddings in higher dimensions

DOI10.1007/s00605-012-0408-7zbMath1260.22004OpenAlexW2059308089MaRDI QIDQ1934257

Stephan Dahlke, Sören Häuser, Gerd Teschke, Gabriele Drauschke

Publication date: 28 January 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-012-0408-7

zbMATH Keywords

Besov spacesBanach framestrace theoremsembedding of function spacessquare-integrable group representationsco-orbit space theory

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear symmetric and selfadjoint operators (unbounded) (47B25) Unitary representations of locally compact groups (22D10) General harmonic expansions, frames (42C15)

Related Items (17)

Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property ⋮ Homogeneous approximation property for continuous shearlet transforms in higher dimensions ⋮ Different faces of the shearlet group ⋮ Shearlet Coorbit Theory ⋮ Structured, compactly supported Banach frame decompositions of decomposition spaces ⋮ Optimal recovery of 3D X-ray tomographic data via shearlet decomposition ⋮ Inhomogeneous shearlet coorbit spaces ⋮ On traces of general decomposition spaces ⋮ Embeddings of shearlet coorbit spaces into Sobolev spaces ⋮ Parabolic molecules ⋮ Embeddings of Decomposition Spaces ⋮ Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings ⋮ Traces of shearlet coorbit spaces on domains ⋮ From Frazier-Jawerth characterizations of Besov spaces to wavelets and decomposition spaces ⋮ On a discrete transform of homogeneous decomposition spaces ⋮ Shearlets: Theory and Applications ⋮ SHEAR ANISOTROPIC INHOMOGENEOUS BESOV SPACES IN ℝ^d

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