Generalized Fourier series and shift-invariant subspaces
Autor: | Kazarian, K. S. |
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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 |
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