Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605100 | Applied and Computational Harmonic Analysis | 2014 | 12 Pages |
Abstract
Given discrete subsets Λj⊂RdΛj⊂Rd, j=1,…,qj=1,…,q, consider the set of windowed exponentials ⋃j=1q{gj(x)e2πi〈λ,x〉:λ∈Λj} on L2(Ω)L2(Ω). We show that a necessary and sufficient condition for the windows gjgj to form a frame of windowed exponentials for L2(Ω)L2(Ω) with some ΛjΛj is that 0
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jean-Pierre Gabardo, Chun-Kit Lai,