Simplified vanishing moment criteria for wavelets over general dilation groups, with applications to abelian and shearlet dilation groups

DOI10.1016/j.acha.2016.03.003zbMath1379.42018arXiv1407.0824OpenAlexW2962838470MaRDI QIDQ2402487

Reihaneh Raisi Tousi, Hartmut Führ

Publication date: 7 September 2017

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

Full work available at URL: https://arxiv.org/abs/1407.0824

zbMATH Keywords

Banach framesvanishing momentscontinuous wavelet transformanisotropic wavelet systemscoorbit spacesshearletssquare-integrable group representation

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) General harmonic expansions, frames (42C15)

Related Items (17)

Structured, compactly supported Banach frame decompositions of decomposition spaces ⋮ Classifying decomposition and wavelet coorbit spaces using coarse geometry ⋮ Embeddings of shearlet coorbit spaces into Sobolev spaces ⋮ A classification of continuous wavelet transforms in dimension three ⋮ General coorbit space theory for quasi-Banach spaces and inhomogeneous function spaces with variable smoothness and integrability ⋮ Dilational symmetries of decomposition and coorbit spaces ⋮ Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings ⋮ Cone-Adapted Shearlets and Radon Transforms ⋮ From Frazier-Jawerth characterizations of Besov spaces to wavelets and decomposition spaces ⋮ Tempered homogeneous function spaces, II ⋮ Frames arising from irreducible solvable actions. I. ⋮ Compactly supported bounded frames on Lie groups ⋮ Coorbit spaces associated to integrably admissible dilation groups ⋮ Unitarization and Inversion Formulae for the Radon Transform Between Dual Pairs ⋮ The Radon transform intertwines wavelets and shearlets ⋮ Unnamed Item ⋮ Unitarization of the Horocyclic Radon Transform on Symmetric Spaces

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