Abstract
The classical convolution transform of an ordinary function is extended to a generalized function space consisting of complex functions analytic in strips around real axis. An inversion theorem is also obtained. A comparative study of the transform defined here and those available in the literature is undertaken.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 217-232 |
| Number of pages | 16 |
| Journal | Integral Transforms and Special Functions |
| Volume | 8 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 1999 |
| Externally published | Yes |
Bibliographical note
Funding Information:Research of the second author is supported by a senior research fellowship from CSIR. India.
Keywords
- Analytic function
- Convolution
- Fourier transform
- Kernel