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arXiv · 1611.04894

Meromorphic continuation approach to noncommutative geometry

Franck Gautier-Baudhuit
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Abstract

Following an idea of Nigel Higson, we develop a method for proving the existence of a meromor-phic continuation for some spectral zeta functions. The method is based on algebras of generalized differential operators. The main theorem states, under some conditions, the existence of a meromor-phic continuation, a localization of the poles in supports of arithmetic sequences and an upper bound of their order. We give an application in relation with a class of nilpotent Lie algebras.

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Franck Gautier-Baudhuit. 2016-11-15. Meromorphic continuation approach to noncommutative geometry. https://doi.org/10.1007/s11005-017-0979-2

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