SHEAR ANISOTROPIC INHOMOGENEOUS BESOV SPACES IN ℝd

DOI10.1142/S0219691314500076zbMath1291.42030OpenAlexW2141176880MaRDI QIDQ2874063

Daniel Vera

Publication date: 28 January 2014

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691314500076

zbMATH Keywords

Besov spacessampling theoremshearletsanisotropic inhomogeneous smoothness spacesembedding of shear anisotropic inhomogeneous Besov spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General harmonic expansions, frames (42C15)

Related Items (4)

Shearlets and pseudo-differential operators ⋮ Democracy of shearlet frames with applications ⋮ Inhomogeneous shearlet coorbit spaces ⋮ An extension of shearlet-based Triebel-Lizorkin spaces and BMO

Cites Work

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• Shearlet smoothness spaces
• Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings
• A discrete transform and decompositions of distribution spaces
• Shearlet coorbit spaces and associated Banach frames
• Representation of Fourier integral operators using shearlets
• Theory of function spaces
• Shearlet coorbit spaces: traces and embeddings in higher dimensions
• Triebel-Lizorkin spaces and shearlets on the cone in \(\mathbb R^2\)
• Wavelets with composite dilations and their MRA properties
• Multivariate Shearlet Transform, Shearlet Coorbit Spaces and Their Structural Properties
• The Construction of Smooth Parseval Frames of Shearlets
• Optimally Sparse Multidimensional Representation Using Shearlets

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