Bargmann-Dirichlet Spaces from Magnetic Laplacians and theirs Bargmann Transforms

Bargmann-Dirichlet Spaces from Magnetic Laplacians and theirs Bargmann Transforms

We reconsider the Bargmann-Dirichlet space on the complex plane \(\mathbb{C}\) and its generalizations considered in [8]. Concretely, we first present a new characterization of such spaces as harmonic spaces of the magnetic Laplacian with suitable domains. Then, we elaborate an associated unitary in...

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Veröffentlicht in:arXiv.org 2019-12
Hauptverfasser: Askour, Nour eddine, Belhaj, Adil, Bouaouid, Mohamed
Format: Artikel
Sprache:eng
Schlagworte:
Dirichlet problem
Domains
Integral transforms
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Zusammenfassung:We reconsider the Bargmann-Dirichlet space on the complex plane \(\mathbb{C}\) and its generalizations considered in [8]. Concretely, we first present a new characterization of such spaces as harmonic spaces of the magnetic Laplacian with suitable domains. Then, we elaborate an associated unitary integral transforms of Bargmann type.
ISSN:2331-8422