M. A. Astaburuaga

activity

20072015

most citedCommutation Relations for Unitary Operators III

3 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

math.FA2015★ 1 cited

Commutation Relations for Unitary Operators II

M. A. Astaburuaga, O. Bourget, V. H. Cortés

Let $f$ be a regular non-constant symbol defined on the $d$ -dimensional torus $T^{d}$ with values on the unit circle. Denote respectively by $κ$ and $L$ , its set of critica…

math.FA2014

Spectral stability for compact perturbations of Toeplitz matrices

M. A. Astaburuaga, O. Bourget, V. H. Cortés

Let $f$ be a regular real-valued non-constant symbol defined on the one dimensional torus $T$ . Denote respectively by $κ$ and $T$ , its set of critical points and the asso…

math.FA2013★ 3 cited

Commutation Relations for Unitary Operators III

M. A. Astaburuaga, O. Bourget, V. H. Cortés

Let $U$ be a unitary operator defined on some infinite-dimensional complex Hilbert space $H$ . Under some suitable regularity assumptions, it is known that a local positive c…

math.FA2013

Commutation Relations for Unitary Operators

M. A. Astaburuaga, O. Bourget, V. H. Cortés

Let $U$ be a unitary operator defined on some infinite-dimensional complex Hilbert space $H$ . Under some suitable regularity assumptions, it is known that a local positive c…

math.SP2007★ 1 cited

Dynamical resonances and SSF singularities for a magnetic Schroedinger operator

Maria Angélica Astaburuaga, Philippe Briet, Vincent Bruneau +2

We consider the Hamiltonian $H$ of a 3D spinless non-relativistic quantum particle subject to parallel constant magnetic and non-constant electric field. The operator $H$ has infin…