On ultradistributional Hartley transform. (English) Zbl 1354.46043
Summary: The Hartley transform and its inverse are used to establish certain results on the testing function space \(Z\) and its dual, the space of ultradistributions. A conjecture is proposed for expressing the inverse Hartley transforms in terms of two-parameter Mittag-Leffler functions.
MSC:
| 46F12 | Integral transforms in distribution spaces |
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 44A15 | Special integral transforms (Legendre, Hilbert, etc.) |
