An extension of the work of V. Guillemin on complex powers and zeta functions of elliptic pseudodifferential operators |
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Authors: | Bogdan Bucicovschi |
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Institution: | Department of Mathematics, Ohio State University, 231 W 18th Ave., Columbus, Ohio 43210 |
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Abstract: | The purpose of this note is to extend the methods and results of 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. The case of bundles of Hilbert modules of finite type over a finite von Neumann algebra will also be treated. |
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