2018/07/10 by Michael Northington V, Northington, Michael, Josiah Park +1
Computer Science · Mathematics · #39A12 #42A38 #42C15 #Classical Analysis and ODEs (math.CA) #Digital Filter Design and Implementation #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #math.CA #msc:39A12 #msc:42A38 #msc:42C15
paper · pdf · doi:10.48550/arxiv.1807.03856
To appear in Approximation Theory 16 conference proceedings volume
openalex publication_date 2018/07/10 · arxiv created 2020/02/04 · arxiv updated 2020/02/05 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
Recently, Nitzan and Olsen showed that Balian-Low theorems (BLTs) hold for discrete Gabor systems defined on ℤd. Here we extend these results to a multivariable setting. Additionally, we show a variety of applications of the Quantitative BLT, proving in particular nonsymmetric BLTs in both the discrete and continuous setting for functions with more than one argument. Finally, in direct analogy of the continuous setting, we show the Quantitative Finite BLT implies the Finite BLT.