Riemann-Liouville fractional integration and reduced distributions on hyperspheres

Abstract

Using properties of Dirichlet's iterated integral formula the author shows how the Riemann-Liouville fractional integral unifies arbitrary moment calculations for reduced distributions on hyperspheres. A whole class of problems of this type is then reduced to readily identifiable integral transforms. The work is applied to quantum inference and connections made to random matrix theory aspects of nuclear physics and quantum chaos.