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Abstract <p>The paper proves that any measurable, almost everywhere finite function can be transformed into a conditionally universal function with respect to the trigonometric system by changing its values on a set of arbitrarily small measure.</p>

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On Conditionally Universal Functions

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • M. G. Grigoryan,
  • L. N. Galoyan

摘要

Abstract

The paper proves that any measurable, almost everywhere finite function can be transformed into a conditionally universal function with respect to the trigonometric system by changing its values on a set of arbitrarily small measure.