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2013 On the Spectral Asymptotics of Operators on Manifolds with Ends
Sandro Coriasco, Lidia Maniccia
Abstr. Appl. Anal. 2013: 1-21 (2013). DOI: 10.1155/2013/909782


We deal with the asymptotic behaviour, for λ + , of the counting function N P ( λ ) of certain positive self-adjoint operators P with double order ( m , μ ) , m , μ > 0 , m μ , 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 n . By means of these tools, we improve known results concerning the remainder terms of the Weyl Formulae for N P ( λ ) and show how their behaviour depends on the ratio m / μ and the dimension of M.


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Sandro Coriasco. Lidia Maniccia. "On the Spectral Asymptotics of Operators on Manifolds with Ends." Abstr. Appl. Anal. 2013 1 - 21, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1274.35255
MathSciNet: MR3044996
Digital Object Identifier: 10.1155/2013/909782

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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