On the Spectral Asymptotics of Operators on Manifolds with Ends
Joint Authors
Coriasco, Sandro
Maniccia, Lidia
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-11
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We deal with the asymptotic behaviour, for λ→+∞, of the counting function NP(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 ℝn.
By means of these tools, we improve known results concerning the remainder terms of the Weyl Formulae for NP(λ) and show how their behaviour depends on the ratio m/μ and the dimension of M.
American Psychological Association (APA)
Coriasco, Sandro& Maniccia, Lidia. 2013. On the Spectral Asymptotics of Operators on Manifolds with Ends. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-507351
Modern Language Association (MLA)
Coriasco, Sandro& Maniccia, Lidia. On the Spectral Asymptotics of Operators on Manifolds with Ends. Abstract and Applied Analysis No. 2013 (2013), pp.1-21.
https://search.emarefa.net/detail/BIM-507351
American Medical Association (AMA)
Coriasco, Sandro& Maniccia, Lidia. On the Spectral Asymptotics of Operators on Manifolds with Ends. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-507351
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507351