Spectrum of the $\overline {\partial }$-Neumann Laplacian on polydiscs
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- Proc. Amer. Math. Soc. 135 (2007), 725-730 Request permission
Abstract:
The spectrum of the $\overline {\partial }$-Neumann Laplacian on a polydisc in $\mathbb {C}^n$ is explicitly computed. The calculation exhibits that the spectrum consists of eigenvalues, some of which, in particular the smallest ones, are of infinite multiplicity.References
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Additional Information
- Siqi Fu
- Affiliation: Department of Mathematical Sciences, Rutgers University-Camden, Camden, New Jersey 08102
- Email: sfu@camden.rutgers.edu
- Received by editor(s): September 20, 2005
- Published electronically: August 10, 2006
- Additional Notes: This research was supported in part by an NSF grant.
- Communicated by: Mei-Chi Shaw
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 725-730
- MSC (2000): Primary 32W05
- DOI: https://doi.org/10.1090/S0002-9939-06-08656-4
- MathSciNet review: 2262868