R. Quiroga-Barranco

collaborators

4 papers

math.OA2025

Operator algebras and unitary representations of Polish groups

Raul Quiroga-Barranco

We study the relationship between operator algebras, $C^{*}$ and von Neumann, acting on a Hilbert space and unitary representations of topological groups on the same space. We obtain…

math.CV2025

Geometry of the slice regular MÃ¶bius transformations of the quaternionic unit ball

Raul Quiroga-Barranco

For the quaternionic unit ball $B$ , let us denote by $M (B)$ the set of slice regular MÃ¶bius transformations mapping $B$ onto itself. We introd…

math.FA2024

The Heisenberg group action on the Siegel domain and the structure of Bergman spaces

Julio A. Barrera-Reyes, Raul Quiroga-Barranco

We study the biholomorphic action of the Heisenberg group $H_{n}$ on the Siegel domain $D_{n + 1}$ ( $n \geq 1$ ). Such $H_{n}$ -action allows us to obtain decompositions…

math.FA2024

Toeplitz operators and group-moment coordinates for quasi-elliptic and quasi-hyperbolic symbols

Raul Quiroga-Barranco, Armando Sanchez-Nungaray

For $B^{n}$ the $n$ -dimensional unit ball and $D_{n}$ its Siegel unbounded realization, we consider Toeplitz operators acting on weighted Bergman spaces with symbols invariant…