An homotopy of isometries related to a probability density

Details An homotopy of isometries related to a probability density An homotopy of isometries related to a probability density

2011-05-11

arxiv.org/abs/1105.2130v1

Mathematics

Classical Analysis and ODEs

17 pages

Scientific paper

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.

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