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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.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991, Russia

    S. P. Suetin

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Correspondence to S. P. Suetin.

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Original Russian Text © S. P. Suetin, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 6, pp. 918–929.

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Suetin, S.P. On an Example of the Nikishin System. Math Notes 104, 905–914 (2018). https://doi.org/10.1134/S0001434618110342

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