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Spectral theory for manifolds of hyperbolic type

Published online by Cambridge University Press:  01 March 1999

N. MANDOUVALOS  and
M. MARIAS
N. MANDOUVALOS
Affiliation:
Aristotle University of Thessaloniki, Department of Mathematics, Thessaloniki 54.006, Greece; e-mail: marias@ccf.auth.gr
M. MARIAS
Affiliation:
Aristotle University of Thessaloniki, Department of Mathematics, Thessaloniki 54.006, Greece; e-mail: marias@ccf.auth.gr
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Abstract

For a class of (n+1)-dimensional manifolds of hyperbolic type, the spectral measure is described in terms of Poisson kernels. This implies that the spectrum is absolutely continuous and it is contained in [n2/4; +∞).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 126 , Issue 2 , March 1999 , pp. 357 - 367
Copyright
The Cambridge Philosophical Society 1999

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