Abstract
The Fourier class of integral transforms with kernels B(ωr) has by definition inverse transforms with kernel B(-ωr). The space of such transforms is explicitly constructed. A slightly more general class of generalized Fourier transforms are introduced. From the general theory follows that integral transform with kernels which are products of a Bessel and a Hankel function or which is of a certain general hypergeometric type have inverse transforms of the same structure.
Original language | English (US) |
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Pages (from-to) | 447-459 |
Number of pages | 13 |
Journal | Integral Transforms and Special Functions |
Volume | 13 |
Issue number | 5 |
DOIs | |
State | Published - Oct 1 2002 |
Externally published | Yes |
Keywords
- Fourier transforms
- Integral transforms in distributional space
- Transforms of special functions