Bilinear semi-classical moment functionals and their integral representation

Details Bilinear semi-classical moment functionals and their integral representation Bilinear semi-classical moment functionals and their integral representation

2002-05-14

arxiv.org/abs/math/0205160v2

J. Approx. Theory 121 (2003) no. 1, 71-99

Mathematics

Classical Analysis and ODEs

25 pages, 3 figures, minor correction and change to Figures

Scientific paper

10.1016/S0021-9045(02)00044-8

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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