R. Quiroga-Barranco

activity

20072022

collaborators

12 papers

math.FA2022

Commuting Toeplitz operators on Cartan domains of type IV and moment maps

Raul Quiroga-Barranco, Monyrattanak Seng

Let us consider, for $n \geq 3$ , the Cartan domain $D_{n}^{IV}$ of type IV. On the weighted Bergman spaces $A_{λ}^{2} (D_{n}^{IV})$ we study th…

math.FA2022

Radial-like Toeplitz operators on Cartan domains of type I

Raul Quiroga-Barranco

Let $D_{n \times n}^{I}$ be the Cartan domain of type I which consists of the complex $n \times n$ matrices $Z$ that satisfy $Z^{*} Z < I_{n}$ . For a symbol $a \in L^\in…

math.FA2021

Toeplitz operators, $T^{m}$ -invariance and quasi-homogeneous symbols

Raul Quiroga-Barranco

For a partition $k = (k_{1}, \dots, k_{m})$ of $n$ consider the group $U (k) = U (k_{1}) \times \dots \times U (k_{m})$ block diagonally e…

math.CV2020

Moment maps of Abelian groups and commuting Toeplitz operators acting on the unit ball

Raul Quiroga-Barranco, Armando Sanchez-Nungaray

We prove that to every connected Abelian subgroup $H$ of the biholomorphisms of the unit ball $B^{n}$ we can associate a set of bounded symbols whose corresponding Toeplitz…

math.DG2020

Local and global rigidity for isometric actions of simple Lie groups on pseudo-Riemannian manifolds

Raul Quiroga-Barranco

Let $M$ be a finite volume analytic pseudo-Riemannian manifold that admits an isometric $G$ -action with a dense orbit, where $G$ is a connected non-compact simple Lie group. For lo…

math.FA2019

Toeplitz operators on the domain ${Z \in M_{2 \times 2} (C) ∣ Z Z^{*} < I}$ with $U (2) \times T^{2}$ -invariant symbols

Matthew Dawson, Gestur Olafsson, Raul Quiroga-Barranco

Let $D$ be the irreducible bounded symmetric domain of $2 \times 2$ complex matrices that satisfy $Z Z^{*} < I_{2}$ . The biholomorphism group of $D$ is realized by $U (2, 2)$ with…

Commuting Toeplitz operators on Cartan domains of type IV and moment maps

Radial-like Toeplitz operators on Cartan domains of type I

Toeplitz operators, Tm-invariance and quasi-homogeneous symbols

Moment maps of Abelian groups and commuting Toeplitz operators acting on the unit ball

Local and global rigidity for isometric actions of simple Lie groups on pseudo-Riemannian manifolds

Toeplitz operators on the domain {Z∈M2×2​(C)∣ZZ∗<I} with U(2)×T2-invariant symbols

Toeplitz operators, $T^{m}$ -invariance and quasi-homogeneous symbols

Toeplitz operators on the domain ${Z \in M_{2 \times 2} (C) ∣ Z Z^{*} < I}$ with $U (2) \times T^{2}$ -invariant symbols