2017/07/20 by Shahaf Nitzan, Nitzan, Shahaf, Jan-Fredrik Olsen +1
Mathematics · #39A12 #42A38 #42C15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.FA #msc:39A12 #msc:42A38 #msc:42C15
paper · pdf · doi:10.48550/arxiv.1707.06449
39 pages, 1 figure
arxiv created 2017/07/20 · arxiv updated 2017/07/21
We formulate and prove finite dimensional analogs for the classical Balian-Low theorem, and for a quantitative Balian-Low type theorem that, in the case of the real line, we obtained in a previous work. Moreover, we show that these results imply their counter-parts on the real line.