Abstract
Salem’s necessary conditions for a trigonometric series to be the Fourier series of an integrable function are generalized to the nonperiodic case for functions in the Wiener algebra. Applications of the obtained result are given.
| Original language | English |
|---|---|
| Pages (from-to) | 437-442 |
| Number of pages | 6 |
| Journal | Mathematical Notes |
| Volume | 104 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 1 Sep 2018 |
Bibliographical note
Publisher Copyright:© 2018, Pleiades Publishing, Ltd.
Keywords
- Fourier transform
- Wiener algebra
- discrete Hilbert transform
- modified Hilbert transform
- trigonometric series
Fingerprint
Dive into the research topics of 'Salem’s Conditions in the Nonperiodic Case'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver