%0 Journal Article
%T An homotopy of isometries related to a probability density
%A Roland Groux
%J Mathematics
%D 2011
%I arXiv
%X We are studying here a family of probability density functions indexed by a real parameter, and constructed from homographic relations between associated Stieltjes transforms. From the analysis of orthogonal polynomials we deduce a family of isometries in relation to the classical operators creating secondary polynomials and we give an application to the explicit resolution of specific integral equations.
%U http://arxiv.org/abs/1105.2130v1