Schur Flows and Orthogonal Polynomials on the Unit Circle
نویسنده
چکیده
Abstract. The relation between the Toda lattices and similar nonlinear chains and orthogonal polynomials on the real line has been elaborated immensely for the last decades. We examine another system of differential-difference equations known as the Schur flow, within the framework of the theory of orthogonal polynomials on the unit circle. This system can be displayed in equivalent form as the Lax equation, and the corresponding spectral measure undergoes a simple transformation. The long time behavior of the solution is also studied.
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تاریخ انتشار 2005