Resolvents of cone pseudodifferential operators, asymptotic expansions and applications

被引：5

作者：

Gil, Juan B. ^{[1
]}

Loya, Paul A. ^{[1
]}

机构：

[1] SUNY Binghamton, Dept Math, Binghamton, NY 13902 USA

来源：

MATHEMATISCHE ZEITSCHRIFT | 2008年 / 259卷 / 01期

关键词：

pseudodifferential operators; manifolds with conical singularities; resolvents; heat kernels; zeta functions; analytic index formulas;

D O I：

10.1007/s00209-007-0212-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：65 / 95

页数：31

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