HARTMANN, Andreas; ORSONI, Marcu-Antone

doi:10.1016/j.matpur.2021.04.009

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

HARTMANN, Andreas
Institut de Mathématiques de Bordeaux [IMB]

ORSONI, Marcu-Antone
Institut de Mathématiques de Bordeaux [IMB]

Idioma

Article de revue

Este ítem está publicado en

Journal de Mathématiques Pures et Appliquées. 2021, vol. 150, p. 181-201

Elsevier

Resumen en inglés

In this paper, we solve a separation of singularities problem in the Bergman space. More precisely, we show that if $P\subset \mathbb{C}$ is a convex polygon which is the intersection of $n$ half planes, then the Bergman space on $P$ decomposes into the sum of the Bergman spaces on these half planes. The result applies to the characterization of the reachable space of the one-dimensional heat equation on a finite interval with boundary controls. We prove that this space is a Bergman space of the square which has the given interval as a diagonal. This gives an affirmative answer to a conjecture raised in [HKT20].< Leer menos