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, 2007
Доклад на конференции, 2007
Authors: Aptekarev A. I.
Asymptotic theory of the Orthogonal Polynomials Entropy
We give a survey on fifteen years history of asymptotical theory of entropy of orthogonal polynomials. We start with a method based on asymptotics of Lp norms of orthogonal polynomials (when n → ∞). Then we discuss recent results and open problem concerning the entropy of orthogonal polynomials in Szeg¨o class. Finally, we touch new statements concerning asymptotics of discrete entropy of orthogonal polynomials.
Publication language: english
Research direction:
Mathematical problems and theory of numerical methods
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