Abstract
A connection is established between the multidimensional Fourier transform of a radial function f from a given class and the one-dimensional Fourier transform of a related function. This is applied to give an asymptotic formula for the Fourier transform of f. The function class in question is compared with related classes already considered in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 103-114 |
| Number of pages | 12 |
| Journal | Zeitschrift für Analysis und ihre Anwendungen |
| Volume | 17 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1998 |
Keywords
- Asymptotics
- Fourier transform
- Multipliers
- Radial functions