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p-adic numbers have applications in several areas of mathematics and physics. In this study, we consider the p-adic Fourier transform of the locally constant functions and the test functions. We can obtain the matrix representation of the p-adic Fourier transform and this allows the Fourier transform to be computed efficiently.

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The p-adic Fourier Transform of the Locally Constant Functions

  • 会议论文

  • 发表日期：

    2025年

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  • Munehiro Kobayashi,
  • Toshio Suzuki

摘要

p-adic numbers have applications in several areas of mathematics and physics. In this study, we consider the p-adic Fourier transform of the locally constant functions and the test functions. We can obtain the matrix representation of the p-adic Fourier transform and this allows the Fourier transform to be computed efficiently.