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 inte...
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| Sprache: | eng |
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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. |
|---|---|
| DOI: | 10.48550/arxiv.1912.05039 |