Bilinear semi-classical moment functionals and their integral representation
arXiv:math/0205160 · doi:10.1016/S0021-9045(02)00044-8
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.
25 pages, 3 figures, minor correction and change to Figures
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Cited by in corpus (19)
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