Generalized Fourier series and shift-invariant subspaces
| Autor: | Kazarian, K. S. |
|---|---|
| Rok vydání: | 2013 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1305.6224 |
| Popis: | A principal shift invariant subspace of $L^{2}(\IR)$ is isometric to a weighted norm space $L^{2}(\IT, w)$. Using results obtained earlier by the author on the basis properties of subsystems of the trigonometric system in the weighted norm spaces $L^{2}(\IT, w)$ we obtain corresponding results concerning generators of principal shift invariant subspaces. Comment: 9 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|