Spectrum of the d-bar-Neumann Laplacian on polydiscs

Details Spectrum of the d-bar-Neumann Laplacian on polydiscs Spectrum of the d-bar-Neumann Laplacian on polydiscs

2005-09-06

arxiv.org/abs/math/0509116v1

Mathematics

Complex Variables

6 pages

Scientific paper

The spectrum of the d-bar-Neumann Laplacian on a polydisc in several complex
variables 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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