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In this paper we consider the problem of the existence of (universal) functions whose double Fourier series in the Walsh system are almost universal in the class of almost everywhere measurable functions.

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On the Universal Functions for the Spaces of Measurable Functions

  • 会议论文

  • 发表日期：

    2025年

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  • Lusine Simonyan,
  • Martin Grigoryan

摘要

In this paper we consider the problem of the existence of (universal) functions whose double Fourier series in the Walsh system are almost universal in the class of almost everywhere measurable functions.