Basic estimates for the generalized ∂-complex
- Author(s)
- Friedrich Haslinger
- 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 complex Laplacian ˜□
D = DD
∗ + D
∗D,whereD is a differential operator of polynomial type, in particular we discuss the corresponding basic estimates, where we express a commutator term as a sum of squared norms.
- Organisation(s)
- Department of Mathematics
- Journal
- Pure and Applied Mathematics Quarterly
- Volume
- 18
- Pages
- 583-597
- No. of pages
- 15
- ISSN
- 1558-8599
- DOI
- https://doi.org/10.4310/PAMQ.2022.v18.n2.a10
- Publication date
- 2022
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101008 Complex analysis
- Keywords
- ASJC Scopus subject areas
- General Mathematics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/0a2f9f16-5e54-4be7-b51c-c936845e2c8a