arXiv subjects

Bogdan Bucicovschi

Publications and source records attributed to Bogdan Bucicovschi.

2 recordsLinked to original sources

arXiv1999

Seeley's Theory of Pseudodifferential Operators on Orbifolds

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.

math.DG↗

arXiv1997

An Extension of the Work of V. Guillemin on Complex Powers and Zeta Functions of Elliptic Pseudodifferential Operators

The purpose of this note is to extend the results of V. Guillemin on elliptic self-adjoint pseudodifferential operators of order one, from operators defined on smooth functions on a closed manifold to operators defined on smooth sections in a vector bundle of Hilbert modules of finite type over a finite von Neumann algebra.

dg-ga↗