One-dimensional Fourier transformation on convex compacts boundaries is considered. Asymptotic behaviour of the Fourier transform when the independent variable in the Fourier space tends to infinity is presented. Analogs of Hertz formulas are proved without assumption of the boundary smoothness. It is shown that a remainder term tends to zero for almost all directions. Some applications of the proved result are presented.

Original languageEnglish
Pages (from-to)50-57
Number of pages8
JournalVestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya
Issue number2
StatePublished - Apr 1991

    Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

ID: 86292369