The continuous shearlet transform in arbitrary space dimensions
type: Item
instance of: scholarly article
title: The continuous shearlet transform in arbitrary space dimensions
zbMATH Open document ID: 1194.42038
author: Stephan Dahlke
author: Gerd Teschke
author: Gabriele Steidl
published in: The Journal of Fourier Analysis and Applications
publication date: 2010-07-02T00:00:00Z
full work available at URL: https://drops.dagstuhl.de/opus/volltexte/2009/1921/
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 22D10
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 47B25
zbMATH DE Number: 5729720
zbMATH Keywords: shearlets
zbMATH Keywords: coorbit space theory
zbMATH Keywords: square-integrable group representations
zbMATH Keywords: Banach frames
zbMATH Keywords: detection of singularities
MaRDI profile type: Publication
OpenAlex ID: W2038397703
cites work: Frame decomposition of decomposition spaces
cites work: Ridgelets: a key to higher-dimensional intermittency?
cites work: Continuous curvelet transform. I: Resolution of the wavefront set
cites work: Analytic features of reproducing groups for the metaplectic representation
cites work: Shearlet coorbit spaces and associated Banach frames
cites work: THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
cites work: Q3807448
cites work: Banach spaces related to integrable group representations and their atomic decompositions. I
cites work: Banach spaces related to integrable group representations and their atomic decompositions. II
cites work: Q4288309
cites work: Q3138785
cites work: Describing functions: Atomic decompositions versus frames
cites work: Compact open sets in duals and projections inL1-algebras of certain semi-direct product groups
cites work: Wavelets with composite dilations and their MRA properties
cites work: Q5486953
cites work: Resolution of the wavefront set using continuous shearlets
cites work: A characterization of the higher dimensional groups associated with continuous wavelets.
DOI: 10.1007/S00041-009-9107-8
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description: scientific article; zbMATH DE number 5729720