Generalized Functions and Orthogonal Polynomials on the Unit Circle
Generalized Functions and Orthogonal Polynomials on the Unit Circle
In a recent paper, R. Morton and A. Krall introduced a new notion of orthogonality of polynomials on the real line in which a sequence of Chebyshev-type polynomials was shown to be orthogonal with respect to a moment generating linear functional. This linear functional is, in fact, a Schwartz distribution. …