Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Cabrelli, C."'
Frames formed by orbits of vectors through the iteration of a bounded operator have recently attracted considerable attention, in particular due to its applications to dynamical sampling. In this article, we consider two commuting bounded operators a
Externí odkaz:
http://arxiv.org/abs/2206.11660
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2024 538(2)
In this paper we prove the existence of a time-frequency space that best approximates a given finite set of data. Here best approximation is in the least square sense, among all time-frequency spaces with no more than a prescribed number of generator
Externí odkaz:
http://arxiv.org/abs/2001.08518
Given discrete groups $\Gamma \subset \Delta$ we characterize $(\Gamma,\sigma)$-invariant spaces that are also invariant under $\Delta$. This will be done in terms of subspaces that we define using an appropriate Zak transform and a particular partit
Externí odkaz:
http://arxiv.org/abs/1912.12478
In this note, we solve the dynamical sampling problem for a class of shift-preserving operators $L:V\to V$ acting on a finitely generated shift-invariant space $V$. We find conditions on $L$ and a finite set of functions of $V$ so that the iterations
Externí odkaz:
http://arxiv.org/abs/1912.10348
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 December 2023 528(1)
Publikováno v:
In Applied and Computational Harmonic Analysis September 2023 66:46-61
We consider bounded operators $A$ acting iteratively on a finite set of vectors $\{f_i : i\in I\}$ in a Hilbert space $\mathcal H$ and address the problem of providing necessary and sufficient conditions for the collection of iterates $\{A^nf_i : i\i
Externí odkaz:
http://arxiv.org/abs/1702.03384
Publikováno v:
In Advances in Mathematics 8 October 2021 389
We characterize all the locally compact abelian (LCA) groups that contain quasicrystals (a class of model sets). Moreover, we describe all possible quasicrystals in the group constructing an appropriate lattice associated with the cut and project sch
Externí odkaz:
http://arxiv.org/abs/1611.05804