Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems for orthogonal trigonometric polynomials
Abstract
Description
In this paper, we obtain some analogs of Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems appeared in the theory of orthogonal polynomials on the unit circle (OPUC) for orthogonal trigonometric polynomials (OTP). The key tool is the mutual representation theorem for OPUC and OTP.
11 pages
11 pages