Abstract
Well-known and recently observed situations where the two main transforms in harmonic analysis, the Fourier transform and the Hilbert transform, show their adjacency and interplay in a specic interesting manner are overviewed. Some relations of that kind are new, while in other cases well-known formulas are considered in a different setting.
| Original language | English |
|---|---|
| Pages (from-to) | 19-32 |
| Number of pages | 14 |
| Journal | Acta et Commentationes Universitatis Tartuensis de Mathematica |
| Volume | 18 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2014 |
Keywords
- Atomic decomposition
- Bounded variation
- Fourier transform
- Hardy's inequality
- Hilbert transform
- Real Hardy space