On an Example of the Nikishin System


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Abstract

An example of a Markov function f = const + \(\hat \sigma \) such that the three functions f, f2, and f3 constitute a Nikishin systemis given. It is conjectured that there exists aMarkov function f such that, for each n ∈ N, the system of f, f2,..., fn is a Nikishin system.

About the authors

S. P. Suetin

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: suetin@mi.ras.ru
Russian Federation, Moscow, 119991

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