The global additive and multiplicative properties of Laplace type operators acting on irreducible rank 1 symmetric spaces are considered. The explicit form of the zeta function on product spaces and of the multiplicative anomaly is derived.
Bytsenko, Andrei A. and Williams, Floyd L., "Product Einstein Manifolds, Zeta-Function Regularization and the Multiplicative Anomaly" (1997). Physics Department Faculty Publication Series. 20.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/20