Bilinear semi-classical moment functionals and their integral representation 1

@inproceedings{Bertola2002BilinearSM,
  title={Bilinear semi-classical moment functionals and their integral representation 1},
  author={Marco Bertola},
  year={2002}
}
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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