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Spectrum of the $ \overline{\partial}$-Neumann Laplacian on polydiscs

Author(s): Siqi Fu
Journal: Proc. Amer. Math. Soc. 135 (2007), 725-730.
MSC (2000): Primary 32W05
Posted: August 10, 2006
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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.

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Siqi Fu and Emil J. Straube, Compactness in the $ \overline\partial$-Neumann problem, Complex Analysis and Geometry, Proceedings of Ohio State University Conference, Walter De Gruyter, 9 (2001), 141-160. MR 1912737 (2004d:32053)

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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

DOI: 10.1090/S0002-9939-06-08656-4
PII: S 0002-9939(06)08656-4
Received by editor(s): September 20, 2005
Posted: August 10, 2006
Additional Notes: This research was supported in part by an NSF grant.
Communicated by: Mei-Chi Shaw
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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