Research output: Contribution to journal › Article › peer-review
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 language | English |
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Pages (from-to) | 50-57 |
Number of pages | 8 |
Journal | Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya |
Issue number | 2 |
State | Published - Apr 1991 |
ID: 86292369