Some explicit formulas for a sequence of secondary measures
Classical Analysis and ODEs
2011-04-26 v1
Abstract
We study here a sequence of secondary measures, so called because the set of secondary polynomials on a given term become orthogonal for the next measure. The main result is a formula making explicit the density of any term of the sequence, under some hypotheses. We give some applications and also derive an interpretation of the Fourier coefficients as multiple integrals.
Cite
@article{arxiv.1104.4559,
title = {Some explicit formulas for a sequence of secondary measures},
author = {Roland Groux},
journal= {arXiv preprint arXiv:1104.4559},
year = {2011}
}
Comments
11 pages