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Bilinear semiclassical moment functionals and their integral representation

✍ Scribed by Marco Bertola

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
326 KB
Volume
121
Category
Article
ISSN
0021-9045

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✦ Synopsis

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 semiclassical 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.

πŸ“œ SIMILAR VOLUMES

Complex Path Integral Representation for
Complex Path Integral Representation for Semiclassical Linear Functionals
✍ F. MarcellΓ‘n; I.A. Rocha πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 491 KB

Semiclassical linear functionals are characterized by the distributional equation D(,L)+ L=0 where , and are arbitrary polynomials with the condition deg( ) 1. Two cases are considered: (A) deg(,)>deg( ) (B) deg(,) deg( ). In an earlier work by the authors (J. Comput. Appl. Math. 57 (1995), 239 249