Operator Product on Locally Symmetric Spaces of Rank One and the Multiplicative Anomaly

Abstract

The global multiplicative properties of Laplace type operators acting on irreducible rank one symmetric spaces are considered. The explicit form of the multiplicative anomaly is derived and its corresponding value is calculated exactly, for important classes of locally symmetric spaces and different dimensions.

arXiv commentInt. Journal of Modern Physics A, vol. 18 (2003), 2179-2188

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