On the Spectral Asymptotics of Operators on Manifolds with Ends

Sandro Coriasco and Lidia Maniccia

Abstract and Applied Analysis, 2013, vol. 2013, 1-21

Abstract:

We deal with the asymptotic behaviour, for , of the counting function of certain positive self-adjoint operators P with double order , > , defined on a manifold with ends M . The structure of this class of noncompact manifolds allows to make use of calculi of pseudodifferential operators and Fourier integral operators associated with weighted symbols globally defined on . By means of these tools, we improve known results concerning the remainder terms of the Weyl Formulae for and show how their behaviour depends on the ratio and the dimension of M .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:909782

DOI: 10.1155/2013/909782

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