Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems for orthogonal trigonometric polynomials

Mathematics – Complex Variables

Scientific paper

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11 pages

Scientific paper

In this paper, we obtain some analogs of Favard, Baxter, Geronimus,
Rakhmanov, Szeg\"o and the strong Szeg\"o 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.

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