Spectral Functions in Quantum TheoryNo Access

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

Departamento de Física, Universidade Estadual de Londrina, Caixa Postal 6001, Londrina–Paraná, Brazil

Institut d'Estudis Espacials de Catalunya, Consejo Superior de Investigaciones Cientificas (IEEC/CSIC), Edifici Nexus, Gran Capità 2–4, 08034 Barcelona, Spain

Departament d'Estructura i Constituents de la Matèria, Facultat de Fìsica, Universitat de Barcelona, Av. Diagonal 647, 08028 Barcelona, Spain

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M. E. X. Guimarães

Universidade de Brasília, Departamento de Matemática, CEP: 70910-900, Brasília-DF, Brazil

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https://doi.org/10.1142/S0217751X03015635Cited by:5 (Source: Crossref)

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.

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