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Atomic Decomposition by Basis Pursuit
SIAM Journal on Scientific Computing, 1998Summary: The time-frequency and time-scale communities have recently developed a large number of overcomplete waveform dictionaries---stationary wavelets, wavelet packets, cosine packets, chirplets, and warplets, to name a few. Decomposition into overcomplete systems is not unique, and several methods for decomposition have been proposed, including the
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Atomic Decomposition for Mixed Morrey Spaces
The Journal of Geometric Analysis, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Atomic decomposition of real JBW-triples
The Quarterly Journal of Mathematics, 2001A real \(\text{JB}^*\)-triple is a closed real subtriple of a (complex) \(\text{JB}^*\)-triple, and a real \(\text{JBW}^*\)-triple is a real \(\text{JB}^*\)-triple the canonical hermitification of which is a (complex) \(\text{JBW}^*\)-triple. In the complex case, \(\text{JBW}^*\)-triples split into the direct sum of two \(w^*\)-closed ideals, one of ...
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An Atomic Decomposition Scheme of Noncovalent Interactions applied to Host-Guest Assemblies.
Journal of Chemical Information and Modeling, 2019The design of novel stimuli-responsive supramolecular systems based on host-guest chemistry implies a thorough understanding of the noncovalent interactions involved.
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Atomic decompositions of Banach-spacevalued martingales
Science in China Series A: Mathematics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Atomic decomposition and duality for a class of Fock spaces
Complex Variables and Elliptic Equations, 2019We obtain atomic decomposition for weighted Fock spaces whose weights φ satisfy a certain version of the doubling condition.
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A q-Atomic Decomposition of Weighted Tent Spaces on Spaces of Homogeneous Type and Its Application
Journal of Geometric Analysis, 2019The theory of tent spaces on $${\mathbb {R}}^n$$ R n was introduced by Coifman, Meyer and Stein, including atomic decomposition, duality theory and so on. Russ generalized the atomic decomposition for tent spaces to the case of spaces of homogeneous type
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