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Abstract
The Fourier transform is naturally defined for integrabler functions. Otherwise, it sholud be stipulated in which sesse the Fourier transform is understood. We consider some class of radial and, generally speaking, nonintegrable functions. The Fourier transform is calculated as an improper integral and the limit coincides with the Fourier transform in the distrikbutional sense. The inverse Fourier formuls is proved as well. Given are some applications of the result obtained.
MSC(1991):
∗The author acknowledges the suport of the Minerva Foundation in Germany through the Emmy Noether Mathematics Institute at Bar-Ilan University
∗The author acknowledges the suport of the Minerva Foundation in Germany through the Emmy Noether Mathematics Institute at Bar-Ilan University
Notes
∗The author acknowledges the suport of the Minerva Foundation in Germany through the Emmy Noether Mathematics Institute at Bar-Ilan University