The Fourier transform of multiradial functions

نویسندگان

  • FRÉDÉRIC BERNICOT
  • LOUKAS GRAFAKOS
  • YANDAN ZHANG
چکیده

We obtain an exact formula for the Fourier transform of multiradial functions, i.e., functions of the form Φ(x) = φ(|x1|, . . . , |xm|), xi ∈ Rni , in terms of the Fourier transform of the function φ on Rr1 × · · · ×Rrm , where ri is either 1 or 2.

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تاریخ انتشار 2013