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Some explicit formulas for a sequence of secondary measures

By Roland Groux

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.Comment: 11 page

Topics: Mathematics - Classical Analysis and ODEs
Year: 2011
OAI identifier: oai:arXiv.org:1104.4559
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