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Bilinear semi-classical moment functionals and their integral representation

Marco Bertola
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Abstract

We introduce the notion of bilinear moment functional and study their general properties. The analogue of Favard's theorem for moment functionals is proven. The notion of semi-classical bilinear functionals is introduced as a generalization of the corresponding notion for moment functionals and motivated by the applications to multi-matrix random models. Integral representations of such functionals are derived and shown to be linearly independent.

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Marco Bertola. 2002-08-08. Bilinear semi-classical moment functionals and their integral representation. https://doi.org/10.1016/s0021-9045(02)00044-8

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