Abstract
We study the isometric operator generated by a trigonometric system. This operator is used in problems with directional derivatives and in theory of the Fourier series. We prove that this isometric operator is a pure shift and present application of this fact to the inverse problem of magnetoresistense.
| Translated title of the contribution | Operador de desplazamiento generado por sistemas trigonométricos |
|---|---|
| Original language | English |
| Pages (from-to) | 459-467 |
| Number of pages | 9 |
| Journal | Mathematical Notes |
| Volume | 67 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2000 |
Keywords
- Fourier series
- Hilbert kernel
- Inverse problem
- Magnetoresistence
- Mellin transform
- Moment problem
- Shift operator
- Trigonometric series
- Wold decomposition