R. D. Martin

A novel approach through spherical functions in the characterization of invariant functions

Given a compact subgroup K of the orthogonal group acting on the Euclidean space ‫ޒ‬ n , Gerald Schwarz proved that every smooth K -invariant function on ‫ޒ‬ n can be expressed as a smooth function of a generating set of K -invariant polynomials on n variables.Our goal is to prov...