双线性半经典矩泛函及其整表示
Bilinear semi-classical moment functionals and their integral representation
摘要：
引入了双线性矩泛函的概念，研究了它们的一般性质。证明了矩泛函的Favard定理的类似物。半经典双线性泛函的概念被引入作为相应的矩泛函的概念的推广，并由应用到多矩阵随机模型的动机。导出了这些泛函的整表示，并证明了它们是线性无关的。
英文摘要：
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.
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