Uniqueness for multiple trigonometric and Walsh series with convergent rearranged square partial sums

نویسندگان

  • J. Marshall
  • T. Tetunashvili
چکیده

If at each point of a set of positive Lebesgue measure, every rearrangement of a multiple trigonometric series square converges to a finite value, then that series is the Fourier series of a function to which it converges uniformly. If there is at least one point at which every rearrangement of a multiple Walsh series square converges to a finite value, then that series is the Walsh-Fourier series of a function to which it converges uniformly.

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تاریخ انتشار 2003