Zak transform analysis of shift-invariant subspaces

Series: 
Analysis Seminar
Wednesday, August 23, 2017 - 14:05
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
University of Maryland
Organizer: 
Abstract: Shift-invariant (SI) spaces play a prominent role in the study of wavelets, Gabor systems, and other group frames. Working in the setting of LCA groups, we use a variant of the Zak transform to classify SI spaces, and to simultaneously describe families of vectors whose shifts form frames for the SI spaces they generate.