Resolvents of cone pseudodifferential operators,asymptotic expansions and applications |
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Authors: | Juan B. Gil Paul A. Loya |
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Affiliation: | (1) Penn State Altoona, 3000 Ivyside Park, Altoona, PA 16601-3760, USA;(2) Department of Mathematics, Binghamton University, Binghamton, NY 13902, USA |
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Abstract: | We study the structure and asymptotic behavior of the resolvent of elliptic cone pseudodifferential operators acting on weighted Sobolev spaces over a compact manifold with boundary. We obtain an asymptotic expansion of the resolvent as the spectral parameter tends to infinity, and use it to derive corresponding heat trace and zeta function expansions as well as an analytic index formula. |
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Keywords: | Pseudodifferential operators Manifolds with conical singularities Resolvents Heat kernels Zeta functions Analytic index formulas |
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