Path Integral Evaluation of the Free Propagator on the (D-1)-dimensional Pseudosphere

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We present an explicit path integral evaluation of the free Hamiltonian propagator on the (D-1)-dimensional pseudosphere, in the horicyclic coordinates, using the integral equation method. This method consists in deriving an integral equation for the propagator that turns out to be of Abel's type.
9 pages, misprints corrected and a note added

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