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math.FA2011
Uncertainty Principles in Finitely generated Shift-Invariant Spaces with additional invariance
Romain Tessera, Haichao Wang
We consider finitely generated shift-invariant spaces (SIS) with additional invariance in . We prove that if the generators and their translates form a frame, then they…
math.FA2010★ 16 cited
Uncertainty Principles and Balian-Low type Theorems in Principal Shift-Invariant Spaces
Akram Aldroubi, Qiyu Sun, Haichao Wang
In this paper, we consider the time-frequency localization of the generator of a principal shift-invariant space on the real line which has additional shift-invariance. We prove th…