Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604924 | Applied and Computational Harmonic Analysis | 2016 | 15 Pages |
Abstract
We consider smoothness properties of the generator of a principal Gabor space on the real line which is invariant under some additional translation–modulation pair. We prove that if a Gabor system on a lattice with rational density is a Riesz basis for its closed linear span, and if the closed linear span, a Gabor space, has any additional translation–modulation invariance, then its generator cannot decay well in time and in frequency simultaneously.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Carlos Cabrelli, Ursula Molter, Götz E. Pfander,