轨道上伪微分算子的Seeley理论
Seeley's Theory of Pseudodifferential Operators on Orbifolds
摘要：
给出了作用在轨道上向量轨道丛上的伪微分算子的理论，构造了椭圆型伪微分算子的zeta函数，证明了至多具有单极点的亚纯扩张到复平面的存在性.我们给公式广义密度的orbifold的积分计算的Zeta函数的残留物。
英文摘要：
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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