Zobrazeno 1 - 10
of 593
pro vyhledávání: '"43A15"'
Autor:
Marra, Mateus, Smania, Daniel
Given two H\"older potentials $\phi_+$ and $\psi_-$ for the unilateral shift, we define anisotropic Banach spaces of distributions on the bilateral shift space with a finite alphabet. On these spaces, the transfer operator for the bilateral shift is
Externí odkaz:
http://arxiv.org/abs/2411.15050
In a measure space with a very mild structure, a good grid, we introduced a scale of Besov Banach spaces of distributions with negative smoothness. We establish an atomic decomposition in terms of Dirac masses and Dipoles, that is, pairs of Diracs ma
Externí odkaz:
http://arxiv.org/abs/2411.14352
In this paper we generalize the concept of classical spectral triples by extending the framework from Hilbert spaces to $L^p$-spaces, and from C*-algebras to $L^p$-operator algebras, $p \in [1, \infty)$. Specifically, we construct $L^p$-spectral trip
Externí odkaz:
http://arxiv.org/abs/2411.13735
Autor:
Feichtinger, Hans G
This note aims at providing a guide towards the use of mild distributions, or more generally the concept of Banach Gelfand Triples in the context of Fourier Analysis, both in the classical and the application oriented sense.
Comment: 8 pages, Co
Comment: 8 pages, Co
Externí odkaz:
http://arxiv.org/abs/2410.04429
We study existence, uniqueness, norm estimates and asymptotic time behaviour (in some cases can be claimed to be sharp) for the solution of a general evolutionary integral (differential) equation of scalar type on a locally compact separable unimodul
Externí odkaz:
http://arxiv.org/abs/2409.18141
Autor:
Youn, Sang-Gyun
The study of Khintchin inequalities has a long history in abstract harmonic analysis. While there is almost no possibility of non-trivial Khintchine inequality for central Fourier series on compact connected semisimple Lie groups, we demonstrate a st
Externí odkaz:
http://arxiv.org/abs/2408.13519
Autor:
Oyadare, Olufemi O.
We establish a $K-$type decomposition of the Harish-Chandra Schwartz algebra $\mathcal{C}^{p}(G),$ for any real-rank $1$ reductive group $G$ with a maximal compact subgroup $K$ and $0
Externí odkaz:
http://arxiv.org/abs/2407.20755
Autor:
Lamando, Arvin, McNulty, Henry
We investigate spaces of operators which are invariant under translations or modulations by lattices in phase space. The natural connection to the Heisenberg module is considered, giving results on the characterisation of such operators as limits of
Externí odkaz:
http://arxiv.org/abs/2406.09119
Autor:
Dabra, Arvish, Kumar, N. Shravan
For a locally compact group $G$ and $1 < p < \infty,$ let $B_p(G)$ denote the $p$-analog of the Fourier-Stieltjes algebra $B(G) \, (\text{or} \, B_2(G))$. Let $r: B_p(G) \to B_p(H)$ be the restriction map given by $r(u) = u|_H$ for any closed subgrou
Externí odkaz:
http://arxiv.org/abs/2405.14227
Autor:
Nica, Bogdan
We obtain asymptotic estimates for the $\ell^p$-operator norm of spherical averaging operators associated to certain geometric group actions. The motivating example is the case of Gromov hyperbolic groups, for which we obtain asymptotically sharp est
Externí odkaz:
http://arxiv.org/abs/2405.08682