Bilinear semi-classical moment functionals and their integral representation
经典分析与常微分方程
2008-04-02 v2
摘要
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.
引用
@article{arxiv.math/0205160,
title = {Bilinear semi-classical moment functionals and their integral representation},
author = {Marco Bertola},
journal= {arXiv preprint arXiv:math/0205160},
year = {2008}
}
备注
25 pages, 3 figures, minor correction and change to Figures