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Shift-invariant spaces of tempered distributions and Lp-functions |
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| Authors: | Di-Rong Chen |
| Affiliation: | a Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, The, People's Republic of China;b Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei 445000, The, People's Republic of China |
| Abstract: | This paper studies the structure of shift-invariant spaces. A characterization for the univariate shift-invariant spaces of tempered distributions is given. In Lp case, an inclusive relation in terms of Fourier transform is established. |
| Keywords: | Shift-invariant space Semi-convolution Toeplitz theorem |
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