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Journal d’Analyse Mathématique

, Volume 89, Issue 1, pp 31–56 | Cite as

Complex powers of differential operators on manifolds with conical singularities

  • Paul Loya
Article

Abstract

We construct the complex powersA z for an elliptic cone (or Fuchs type) differential operatorA on a manifold with boundary. We show thatA z exists as an entire family ofb-pseudodifferential operators. We also examine the analytic structure of the Schwartz kernel ofA z , both on and off the diagonal. Finally, we study the meromorphic behavior of the zeta function Tr(A z ).

Keywords

Entire Function Zeta Function Heat Kernel Pseudodifferential Operator Simple Polis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University of Jerusalem 2003

Authors and Affiliations

  1. 1.Department of MathematicsBinghamton UniversityBinghamtonUSA

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