Fourier Tauberian Theorems and Applications

  • Yu Safarov
  • Published 2000


Let F be a non-decreasing function and ρ is an appropriate test function on the real line R. Then, under certain conditions on the Fourier transform of the convolution ρ * F , one can estimate the difference F − ρ * F. Results of this type are called Fourier Tauberian theorems. The Fourier Tauberian theorems have been used by many authors for the study of… (More)


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