Some explicit formulas for a sequence of secondary measures

Details Some explicit formulas for a sequence of secondary measures Some explicit formulas for a sequence of secondary measures

2011-04-23

arxiv.org/abs/1104.4559v1

Mathematics

Classical Analysis and ODEs

11 pages

Scientific paper

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.

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