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Seeley's Theory of Pseudodifferential Operators on Orbifolds

Bogdan Bucicovschi
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Abstract

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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Bogdan Bucicovschi. 1999-12-30. Seeley's Theory of Pseudodifferential Operators on Orbifolds. https://arxiv.org/abs/math/9912228

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