In these lectures I want to describe orthogonal polynomials of several variables of classical type, and then some expansion, e. g. Cesaro summability, Poisson theorems (work by my collaborator Yuan Xu).

Lecture 1.
Orthogonal polynomials of classical type in several variables

Lecture 2.
Boundedness and summability problems for expansions

(See latex, dvi, ps, pdf files of the abstract.)

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