3 papers
math.FA2026
A Bargmann transform for translation invariant operators on weighted Bergman spaces of the complex half-plane
Raul Quiroga-Barranco
Let us denote with () a weighted Bergman space over the right half-plane , which admits a unitary representation of $\mathbb{…
math.DG2025
Lie theory of the slice Riemannian geometry on the quaternionic unit ball
Raul Quiroga-Barranco
The quaternionic unit ball carries a Riemannian metric built using regular Möbius transformations: the slice Riemannian metric. We prove that the geometry induced by this metric i…
math.CV2024
Geometric structures on the quaternionic unit ball and slice regular Möbius transformations
Raul Quiroga-Barranco
Building from ideas of hypercomplex analysis on the quaternionic unit ball, we introduce Hermitian, Riemannian and Kähler-like structures on the latter. These are built from the s…