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In this paper, we obtain some analogs of Favard, Baxter, Geronimus,Rakhmanov, Szeg\"o and the strong Szeg\"o theorems appeared in the theory oforthogonal polynomials on the unit circle (OPUC) for orthogonal trigonometricpolynomials (OTP). The key tool is the mutual representation theorem for OPUCand OTP.

Favard, Baxter, Geronimus, Rakhmanov, Szeg\"o and the strong Szeg\"o theorems for orthogonal trigonometric polynomials