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arxiv: math/0509116 · v1 · submitted 2005-09-06 · 🧮 math.CV · math.SP

Spectrum of the d-bar-Neumann Laplacian on polydiscs

classification 🧮 math.CV math.SP
keywords spectrumd-bar-neumannlaplaciancalculationcomplexcomputedconsistseigenvalues
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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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