Results 21 to 30 of about 1,945 (280)
Journal of Function Spaces and Applications, 2008 A construction of Triebel-Lizorkin type spaces associated with flexible decompositions of the frequency space ℝd is considered. The class of admissible frequency decompositions is generated by a one parameter group of (anisotropic) dilations on ℝd and a ...
Lasse Borup, Morten Nielsen
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Homogeneous Besov Spaces on Stratified Lie Groups and Their Wavelet Characterization
Journal of Function Spaces and Applications, 2012 We establish wavelet characterizations of homogeneous Besov spaces on stratified Lie groups, both in terms of continuous and discrete wavelet systems.
Hartmut Führ, Azita Mayeli
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Degrees of randomized computability: decomposition into atoms
CoRR, 2021 In this paper we study structural properties of LV-degrees of the algebra of collections of sequences that are non-negligible in the sense that they can be computed by a probabilistic algorithm with positive probability. We construct atoms and infinitely divisible elements of this algebra generated by sequences, which cannot be Martin-Löf random and ...
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WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS
Forum of Mathematics, Sigma, 2020 Let $X$ be a space of homogeneous type and $L$ be a nonnegative self-adjoint operator on $L^{2}(X)$ satisfying Gaussian upper bounds on its heat kernels.
HUY-QUI BUI +2 more
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Fast atomic decomposition by the inhibition method [PDF]
Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, 2002 A new algorithm is introduced which is related to matching pursuit but allows updating more than one coding coefficient per iteration: the updated coefficients correspond to mutually orthogonal elements of the dictionary. Coding experiments on natural images show that the new method achieves the same trade-off as matching pursuit between number of ...
Pece, Arthur, Petkov, Nikolay
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Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits
Journal of Function Spaces and Applications, 2012 We give characterizations for homogeneous and inhomogeneous Besov-Lizorkin-Triebel spaces (H. Triebel 1983, 1992, and 2006) in terms of continuous local means for the full range of parameters.
Tino Ullrich
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Atomic decompositions for noncommutative martingales
Journal of Functional Analysis, 2023 We prove an atomic type decomposition for the noncommutative martingale Hardy space $\h_p$ for all ...
Zeqian Chen +2 more
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Organizing the atoms of the clique separator decomposition into an atom tree
Discrete Applied Mathematics, 2014 We define an atom tree of a graph as a generalization of a clique tree: its nodes are the atoms obtained by clique minimal separator decomposition, and its edges correspond to the clique minimal separators of the graph.Given a graph GG, we compute an atom tree by using a clique tree of a minimal triangulation HH of GG.
Berry, Anne +2 more
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Atomic decompositions of martingale Hardy-Lorentz spaces and interpolation
, 2017 In this paper, we establish atomic decompositions for the martingale Hardy-Lorentz spaces. As an application, with the help of atomic decomposition, some interpolation theorems with a function parameter for these spaces are proved.
Maryam Mohsenipour, Ghadir Sadeghi
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Tight wavelet frames in Lebesgue and Sobolev spaces
Journal of Function Spaces and Applications, 2004 We study tight wavelet frame systems in Lp(ℝd) and prove that such systems (under mild hypotheses) give atomic decompositions of Lp(ℝd) for 1≺p≺∞. We also characterize Lp(ℝd) and Sobolev space norms by the analysis coefficients for the frame. We consider
L. Borup, R. Gribonval, M. Nielsen
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