Seeley's Theory of Pseudodifferential Operators on Orbifolds

Details Seeley's Theory of Pseudodifferential Operators on Orbifolds Seeley's Theory of Pseudodifferential Operators on Orbifolds

1999-12-30

arxiv.org/abs/math/9912228v1

Mathematics

Differential Geometry

49 pages, Latex, uses the xypic package

Scientific paper

We present the theory of pseudodifferential operators acting on a vector orbibundle over an orbifold, construct the zeta function of an elliptic pseudodifferential operator and show the existence of a meromorphic extension to the complex plane with at most simple poles. We give formulas for generalized densities on the orbifold whose integrals compute the residues of the zeta function.

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