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<p>In this paper, we explore the relation between the smoothness properties of functions and the rate of decay of their Fourier transforms. In particular, we obtain a Lorentz-type theorem for functions with general monotone Fourier transforms.</p>

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Lorentz-type theorems for the Fourier transforms

  • 期刊论文

  • 发表日期：

    2026年6月2日

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  • Zh. Mukanov,
  • A. Mukanov

摘要

In this paper, we explore the relation between the smoothness properties of functions and the rate of decay of their Fourier transforms. In particular, we obtain a Lorentz-type theorem for functions with general monotone Fourier transforms.