Mathematics – Complex Variables
Scientific paper
2008-07-23
Mathematics
Complex Variables
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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