A primer on coorbit theory
type: Item
instance of: scholarly article
title: A primer on coorbit theory
zbMATH Open document ID: 1489.43004
author: Eirik Berge
published in: The Journal of Fourier Analysis and Applications
publication date: 2021-12-08T00:00:00Z
Mathematics Subject Classification ID: 43A25
Mathematics Subject Classification ID: 22D10
Mathematics Subject Classification ID: 22E27
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 43A65
zbMATH DE Number: 7441172
zbMATH Keywords: coorbit spaces
zbMATH Keywords: integrable representations
zbMATH Keywords: atomic decompositions
zbMATH Keywords: large scale geometry
zbMATH Keywords: modulation spaces
zbMATH Keywords: shearlet spaces
MaRDI profile type: Publication
full work available at URL: s00041-021-09892-5
OpenAlex ID: W3215532986
cites work: Kernel theorems in coorbit theory
cites work: \(\alpha\)-modulation spaces for step two stratified Lie groups
cites work: Interpolation in wavelet spaces and the HRT-conjecture
cites work: Ridgelets: a key to higher-dimensional intermittency?
cites work: Q4945742
cites work: New atomic decompositions for Bergman spaces on the unit ball
cites work: Atomic decomposition via projective group representations
cites work: An introduction to frames and Riesz bases
cites work: Time-frequency analysis of operators
cites work: On the Atomic Decomposition of Coorbit Spaces with Non-integrable Kernel
cites work: Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces
cites work: THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
cites work: Shearlet coorbit spaces and associated Banach frames
cites work: Harmonic and applied analysis. From groups to signals
cites work: Coorbit spaces with voice in a Fréchet space
cites work: Frames and coorbit theory on homogeneous spaces with a special guidance on the sphere
cites work: The continuous shearlet transform in arbitrary space dimensions
cites work: Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings
cites work: Ten Lectures on Wavelets
cites work: Painless nonorthogonal expansions
cites work: Principles of harmonic analysis
cites work: On the regular representation of a nonunimodular locally compact group
cites work: Full characterization of the embedding relations between \(\alpha\)-modulation spaces
cites work: Q3892728
cites work: Q3310336
cites work: On a new Segal algebra
cites work: Banach Spaces of Distributions Defined by Decomposition Methods II
cites work: Q5451861
cites work: Banach Spaces of Distributions Defined by Decomposition Methods, I
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: Coorbit Theory and Bergman Spaces
cites work: Quantization on nilpotent Lie groups
cites work: A Course in Abstract Harmonic Analysis
cites work: Continuous frames, function spaces, and the discretization problem
cites work: Abstract harmonic analysis of continuous wavelet transforms
cites work: Coorbit spaces associated to integrably admissible dilation groups
cites work: Wavelet coorbit spaces viewed as decomposition spaces
cites work: Q2939708
cites work: Describing functions: Atomic decompositions versus frames
cites work: Foundations of time-frequency analysis
cites work: Time-frequency analysis of Sjöstrand's class
cites work: Q5447945
cites work: New Function Spaces Associated to Representations of Nilpotent Lie Groups and Generalized Time-Frequency Analysis
cites work: Transforms associated to square integrable group representations. I. General results
cites work: Q5486953
cites work: On the role of the Heisenberg group in harmonic analysis
cites work: On a (no longer) new Segal algebra: a review of the Feichtinger algebra
cites work: General coorbit space theory for quasi-Banach spaces and inhomogeneous function spaces with variable smoothness and integrability
cites work: Q4830318
cites work: Introduction to Shearlets
cites work: A Wiener Tauberian theorem for operators and functions
cites work: Properties of the voice transform of the Blaschke group and connections with atomic decomposition results in the weighted Bergman spaces
cites work: An introduction to the theory of reproducing kernel Hilbert spaces
cites work: Coorbit space theory for quasi-Banach spaces
cites work: Q3963253
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A primer on coorbit theory (DOI)
DOI: 10.1007/S00041-021-09892-5