Bargmann-Dirichlet Spaces from Magnetic Laplacians and theirs Bargmann Transforms
Abstract
We reconsider the Bargmann-Dirichlet space on the complex plane 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.
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