Abstract
Certain relations between the Fourier transform of a function and the Hilbert transform of its derivative are revealed. They concern the integrability/non-integrability of both transforms. Certain applications are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 49-56 |
| Number of pages | 8 |
| Journal | Journal of Mathematical Sciences (United States) |
| Volume | 187 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Nov 2012 |
Bibliographical note
Publisher Copyright:© 2012 Springer Science+Business Media New York.
Keywords
- Fourier transform
- Hardy space
- Hilbert transform
- Integrability
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