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arXiv · 2103.07697

The generalized $\partial$-complex on the Segal Bargmann space

Friedrich Haslinger
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Abstract

We study certain densely defined unbounded operators on the Segal-Barg\-mann space, related to the annihilation and creation operators of quantum mechanics. We consider the corresponding $D$-complex and study properties of the corresponding complex Laplacian $\tilde \Box_D = D D^* + D^* D,$ where $D$ is a differential operator of polynomial type.

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Friedrich Haslinger. 2021-03-13. The generalized $\partial$-complex on the Segal Bargmann space. https://arxiv.org/abs/2103.07697

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