On the spectrum of the Laplacian |
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| Authors: | Nelia Charalambous Zhiqin Lu |
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| Institution: | 1. Department of Mathematics and Statistics, University of Cyprus, 1678?, Nicosia, Cyprus
2. Department of Mathematics, University of California, Irvine, Irvine, CA, 92697, USA
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| Abstract: | In this article we prove a generalization of Weyl’s criterion for the essential spectrum of a self-adjoint operator on a Hilbert space. We then apply this criterion to the Laplacian on functions over open manifolds and get new results for its essential spectrum. |
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