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    Trace expansions for elliptic cone operators with stationary domains

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    Genre
    Journal Article
    Date
    2010-12-01
    Author
    Gil, JB
    Krainer, T
    Mendoza, GA
    Subject
    Resolvents
    trace asymptotics
    manifolds with conical singularities
    spectral theory
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/6048
    
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    DOI
    10.1090/S0002-9947-2010-05283-3
    Abstract
    We analyze the behavior of the trace of the resolvent of an elliptic cone differential operator as the spectral parameter tends to infinity. The resolvent splits into two components, one associated with the minimal extension of the operator, and another, of finite rank, depending on the particular choice of domain. We give a full asymptotic expansion of the first component and expand the component of finite rank in the case where the domain is stationary. The results make use of, and develop further, our previous investigations on the analytic and geometric structure of the resolvent. The analysis of nonstationary domains, considerably more intricate, is pursued elsewhere. © 2010 American Mathematical Society.
    Citation to related work
    American Mathematical Society (AMS)
    Has part
    Transactions of the American Mathematical Society
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    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/6030
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