Abstract
We study certain densely defined unbounded operators on the Segal-Bargmann 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 
, where D is a differential operator of polynomial type.
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Acknowledgements
The author thanks the referees for several useful suggestions.
This project was partially supported by the Austrian Science Fund (FWF) project P28154.
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Haslinger, F. (2021). The Generalized ∂-Complex on the Segal–Bargmann Space. In: Bastos, M.A., Castro, L., Karlovich, A.Y. (eds) Operator Theory, Functional Analysis and Applications. Operator Theory: Advances and Applications, vol 282. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-51945-2_16
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DOI: https://doi.org/10.1007/978-3-030-51945-2_16
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