Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Mosquera, Carolina"'
Autor:
Mosquera, Carolina A., Olivo, Andrea
We prove that the Fourier transform of self-similar measures on the complex plane has fast decay outside of a very sparse set of frequencies, with quantitative estimates, extending the results obtained in the real line, first by R. Kaufman, and later
Externí odkaz:
http://arxiv.org/abs/2207.11570
In this paper we study the Dirichlet problem for systems of mean value equations on a regular tree. We deal both with the directed case (the equations verified by the components of the system at a node in the tree only involve values of the unknowns
Externí odkaz:
http://arxiv.org/abs/2111.06778
We show some non-standard Poincar\'e type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from classical estimates exploiting the interplay between maximal functions and fractional integrals
Externí odkaz:
http://arxiv.org/abs/2109.10994
In this paper we give a geometric condition which ensures that $(q,p)$-Poincar\'e-Sobolev inequalities are implied from generalized $(1,1)$-Poincar\'e inequalities related to $L^1$ norms in the context of product spaces. The concept of eccentricity p
Externí odkaz:
http://arxiv.org/abs/2104.08901
We prove a necessary and sufficient condition for a principal shift invariant space of $L^2(\mathbb{R})$ to be invariant under translations by the subgroup $\frac{1}{N} \mathbb{Z}, N>1$. This condition is given in terms of the Zak transform of the gr
Externí odkaz:
http://arxiv.org/abs/1904.10538
Autor:
Mosquera, Carolina A., Shmerkin, Pablo
Publikováno v:
Ann. Acad. Sci. Fenn. Math. 43 (2018), no. 2, 823--834
R. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power decay outside of a sparse set of frequencies. We present a version of this result for homogeneous self-similar measures, with quantitative estimates, and
Externí odkaz:
http://arxiv.org/abs/1710.06812
Autor:
Barbieri, Davide, Cabrelli, Carlos, Hernández, Eugenio, Luthy, Peter, Molter, Ursula, Mosquera, Carolina
In this note we investigate the existence of frames of exponentials for $L^2(\Omega)$ in the setting of LCA groups. Our main result shows that sub-multitiling properties of $\Omega \subset \widehat{G}$ with respect to a uniform lattice $\Gamma$ of $\
Externí odkaz:
http://arxiv.org/abs/1710.03176
Let $\mathcal{H}$ be Hilbert space and $(\Omega,\mu)$ a $\sigma$-finite measure space. Multiplicatively invariant (MI) spaces are closed subspaces of $ L^2(\Omega, \mathcal{H})$ that are invariant under point-wise multiplication by functions in a fix
Externí odkaz:
http://arxiv.org/abs/1602.08608
Publikováno v:
Appl. Comput. Harmon. Anal. 41 (2016), no. 2, 660--676
Given an arbitrary finite set of data F= {f_1,..., f_m} in L2(Rd) we prove the existence and show how to construct a "small shift invariant space" that is "closest" to the data F over certain class of closed subspaces of L2(Rd). The approximating sub
Externí odkaz:
http://arxiv.org/abs/1501.03187
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