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There are two notions of sparsity associated to a frame $\Psi=(\psi_i)_{i\in I}$: Analysis sparsity of $f$ means that the analysis coefficients $(\langle f,\psi_i\rangle)_i$ are sparse, while synthesis sparsity means that $f=\sum_i c_i\psi_i$ with sparse coefficients $(c_i)_i$.
Banach spaces of distributions defined by decomposition methods, I
H.G. Feichtinger and P. Gröbner · 1985
Earlier work this paper cites.
A unified approach to atomic decompositions via integrable group representations
H.G. Feichtinger and K. Gröchenig · 1988
Earlier work this paper cites.
Banach spaces related to integrable group representations and their atomic decompositions, I
H.G. Feichtinger and K. Gröchenig · 1989
Earlier work this paper cites.
Banach spaces related to integrable group representations and their atomic decompositions, II
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Earlier work this paper cites.
Describing functions: atomic decompositions versus frames
K. Gröchenig · 1991
Earlier work this paper cites.
Functional Analysis
W. Rudin · 1991
Earlier work this paper cites.
Wavelet frames and admissibility in higher dimensions
H. Führ · 1996
Earlier work this paper cites.
Real Analysis: Modern Techniques and Their Applications
G.B. Folland · 1999
Earlier work this paper cites.
Continuous wavelets transforms from semidirect products
H. Führ · 2000
Earlier work this paper cites.
Sparse components of images and optimal atomic decompositions
D.L. Donoho · 2001
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
Weighted coorbit spaces and Banach frames on homogeneous spaces
S. Dahlke, G. Steidl, and G. Teschke · 2004
Earlier work this paper cites.
Localization of frames, Banach frames, and the invertibility of the frame operator
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Earlier work this paper cites.
Intrinsic localization of frames
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Earlier work this paper cites.
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M. Fornasier and H. Rauhut · 2005
Earlier work this paper cites.
Sparse multidimensional representations using anisotropic dilation and shear operators
K. Guo, G. Kutyniok, and D. Labate · 2006
Earlier work this paper cites.
Frame decomposition of decomposition spaces
L. Borup and M. Nielsen · 2007
Earlier work this paper cites.
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Parabolic molecules
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Shear anisotropic inhomogeneous Besov spaces in ℝ d \mathbb{R}^{d}
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Coorbit spaces and wavelet coefficient decay over general dilation groups
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Structured, Compactly Supported Banach Frame Decompositions of Decomposition Spaces
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