Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605104 | Applied and Computational Harmonic Analysis | 2014 | 8 Pages |
Abstract
The norm of the commutator of a projection onto a closed subspace and an operator S can be understood as a quantitative measure of the lack of invariance of the space under S . In this paper we study principal shift-invariant spaces V(φ)V(φ) and their invariance properties under arbitrary translations. It is known that no principal shift-invariant space with an integrable orthonormal basis generator can be fully translation-invariant. In this paper we present several quantitative versions of this statement.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hartmut Führ, Jun Xian,