Zobrazeno 1 - 10
of 18
pro vyhledávání: '"46E35, 42C40"'
Autor:
Fageot, Julien, Ward, John Paul
For each integrability parameter $p \in (0,\infty]$, the critical smoothness of a periodic generalized function $f$, denoted by $s_f(p)$ is the supremum over the smoothness parameters $s$ for which $f$ belongs to the Besov space $B_{p,p}^s$ (or other
Externí odkaz:
http://arxiv.org/abs/2009.12491
We introduce a family of quasi-Banach spaces - which we call wave packet smoothness spaces - that includes those function spaces which can be characterised by the sparsity of their expansions in Gabor frames, wave atoms, and many other frame construc
Externí odkaz:
http://arxiv.org/abs/1904.10687
Autor:
Aziznejad, Shayan, Fageot, Julien
We characterize the local smoothness and the asymptotic growth rate of the L\'evy white noise. We do so by characterizing the weighted Besov spaces in which it is located. We extend known results in two ways. First, we obtain new bounds for the local
Externí odkaz:
http://arxiv.org/abs/1801.09245
This article describes how the ideas promoted by the fundamental papers published by M. Frazier and B. Jawerth in the eighties have influenced subsequent developments related to the theory of atomic decompositions and Banach frames for function space
Externí odkaz:
http://arxiv.org/abs/1606.04924
We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class $A_\infty$. The main tool is a discretization in terms of an almost orthogonal wavelet expansion adapted to the r
Externí odkaz:
http://arxiv.org/abs/1406.0542
Autor:
Seuret, Stéphane, Vigneron, François
In this article, we investigate the pointwise behaviors of functions on the Heisenberg group. We find wavelet characterizations for the global and local H\"older exponents. Then we prove some a priori upper bounds for the multifractal spectrum of all
Externí odkaz:
http://arxiv.org/abs/1311.1972
Publikováno v:
Adv. Math. 232 (2013), 98-120
In this article we construct affine systems that provide a simultaneous atomic decomposition for a wide class of functional spaces including the Lebesgue spaces $L^p(\Rdst)$, $1
Externí odkaz:
http://arxiv.org/abs/1108.2748
Publikováno v:
Journal of Multivariate Analysis, 104, pp. 16-38, (2012)
The construction of adaptive nonparametric procedures by means of wavelet thresholding techniques is now a classical topic in modern mathematical statistics. In this paper, we extend this framework to the analysis of nonparametric regression on secti
Externí odkaz:
http://arxiv.org/abs/1009.4345
Publikováno v:
Journal de Mathématiques Pures et Appliquées
Journal de Mathématiques Pures et Appliquées, Elsevier, 2020, 133, pp.185-262. ⟨10.1016/j.matpur.2019.05.006⟩
Journal de Mathématiques Pures et Appliquées, 2020, 133, pp.185-262. ⟨10.1016/j.matpur.2019.05.006⟩
Journal de Mathématiques Pures et Appliquées, Elsevier, 2020, 133, pp.185-262. ⟨10.1016/j.matpur.2019.05.006⟩
Journal de Mathématiques Pures et Appliquées, 2020, 133, pp.185-262. ⟨10.1016/j.matpur.2019.05.006⟩
We introduce a family of quasi-Banach spaces - which we call wave packet smoothness spaces - that includes those function spaces which can be characterised by the sparsity of their expansions in Gabor frames, wave atoms, and many other frame construc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::420519cf2c1d6e16391617900de0280e
Autor:
H. Feichtinger, F. Voigtlaender
This article describes how the ideas promoted by the fundamental papers published by M. Frazier and B. Jawerth in the eighties have influenced subsequent developments related to the theory of atomic decompositions and Banach frames for function space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::820e12d875102dd5ff0682bd759eef4d
http://arxiv.org/abs/1606.04924
http://arxiv.org/abs/1606.04924