Geodesic
Szegö Polynomials on a Compact Group with Ordered Dual
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 538-560

Voir la notice de l'article provenant de la source Cambridge University Press

The Szegö polynomials are defined on T, the real numbers modulo 1. In this paper and in its sequel we give a generalization of Szegö polynomials in which T is replaced by an arbitrary locally compact abelian group θ on whose dual there has been distinguished a measurable order relation compatible with the group structure. The present paper is devoted to the case where θ is compact and therefore discrete. The general case will be taken up in the sequel mentioned above. It is desirable to proceed in this way because the case θ compact is much simpler and much more like the classical situation than is the general case, in which various measure-theoretic difficulties obtrude. Moreover, as it happens, it is possible to develop the theory in this way with relatively little repetition. 
Jr., I. I. Hirschman. Szegö Polynomials on a Compact Group with Ordered Dual. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 538-560. doi: 10.4153/CJM-1966-053-1
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