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On the Existence and Structure of Universal Functions

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Abstract

The existence of functions the Fourier–Walsh series of which are universal in the sense of signs for the class of almost everywhere finite measurable functions, and the structure of such functions is described.

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ACKNOWLEDGMENTS

The author is grateful to Academician of the RAS B.S. Kashin for his interest in this work.

Funding

This work was supported by the Science Committee of the Republic Armenia, research project no. 21T-1A-303.

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Authors and Affiliations

  1. Yerevan State University, 0025, Yerevan, Republic of Armenia

    M. G. Grigoryan

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  1. M. G. Grigoryan
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Correspondence to M. G. Grigoryan.

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Translated by I. Ruzanova

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Grigoryan, M.G. On the Existence and Structure of Universal Functions. Dokl. Math. 103, 23–25 (2021). https://doi.org/10.1134/S1064562421010051

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  • DOI: https://doi.org/10.1134/S1064562421010051

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