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Perturbation of frame sequences in shift-invariant spaces |
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| Authors: | O. Christensen H. O. Kim R. Y. Kim J. K. Lim |
| Affiliation: | 1. Department of Mathematics, Technical University of Denmark, Building 303, 2800, Lyngby, Denmark 2. Division of Applied Mathematics, KAIST, 373-1, Guseong-dong, Yuseong-gu, 305-701, Daejeon, Republic of Korea 3. Department of Computational Mathematics and Informatics, Hankyong National University, 67 Sokjong-Dong, 456-749, Ansung-City, Kyonggi-Do, Republic of Korea |
| Abstract: | We prove a new perturbation criteria for frame sequences, which generalizes previous results and is easier to apply. In the special case of frames infinitely generated shift-invariant subspaces of L2(ℝd) the condition can be formulated in terms of the norm of a finite Gram matrix and a corresponding rank condition. |
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