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

Mathematics – Differential Geometry

Scientific paper

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11 pages, AMS-Tex, Minor Corrections

Scientific paper

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.

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