Abstract
Shifts-invariant spaces in L 1 (R) are investigated. First, based on a study of the system of linearly difference operators, the method of constructing generators with linearly independent shifts is provided. Then the characterizations of the closed shift-invariant subspaces in L 1 (R) are given in terms of such generators and the local basis of shift-invariant subspaces.
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Supported by the National Natural Science Foundation of China (10071071).
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Wu, Z. Characterizations of principal shift-invariant spaces. Appl. Math. Chin. Univ. 17, 291–300 (2002). https://doi.org/10.1007/s11766-002-0007-9
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DOI: https://doi.org/10.1007/s11766-002-0007-9