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- Title
Meromorphic continuation approach to noncommutative geometry.
- Authors
Gautier-Baudhuit, Franck
- Abstract
Following an idea of Nigel Higson, we develop a method for proving the existence of a meromorphic 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 meromorphic continuation, a localization of the poles in supports of arithmetic sequences and an upper bound of their order. We give an application in relation to a class of nilpotent Lie algebras.
- Subjects
NONCOMMUTATIVE differential geometry; NONCOMMUTATIVE function spaces; NONCOMMUTATIVE algebras; LIE algebras; MATHEMATICS theorems
- Publication
Letters in Mathematical Physics, 2017, Vol 107, Issue 11, p2047
- ISSN
0377-9017
- Publication type
Article
- DOI
10.1007/s11005-017-0979-2