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Weyl Asymptotics for the Laplacian on Manifolds with Asymptotically Cusp Ends

✍ Scribed by T Christiansen

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 188 KB
Volume: 187
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3818

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✦ Synopsis

We describe the spectrum of the Laplacian on a manifold with asymptotically cusp ends and find asymptotics of a corresponding spectral shift function. Here the spectral shift function is the difference of the eigenvalue counting function and the scattering phase.

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