dc.creator | Leshen, Sara | |
dc.date.accessioned | 2020-08-21T21:18:30Z | |
dc.date.available | 2019-03-21 | |
dc.date.issued | 2019-03-21 | |
dc.identifier.uri | https://etd.library.vanderbilt.edu/etd-03202019-161148 | |
dc.identifier.uri | http://hdl.handle.net/1803/10973 | |
dc.description.abstract | The uncertainty principle implies that a function and its Fourier transform cannot both be well-localized. The Balian-Low theorem is a version of the uncertainty principle for generators of Gabor orthonormal bases. This dissertation proves a new Balian-Low type theorem for compactly supported generators of Gabor Schauder bases. Moreover, we show that the classical Balian-Low theorem for orthonormal bases does not hold for Schauder bases. | |
dc.format.mimetype | application/pdf | |
dc.subject | Schauder bases | |
dc.subject | uncertainty principle | |
dc.subject | time-frequency analysis | |
dc.title | Balian-Low Type Results for Gabor Schauder Bases | |
dc.type | dissertation | |
dc.contributor.committeeMember | Akram Aldroubi | |
dc.contributor.committeeMember | Doug Hardin | |
dc.contributor.committeeMember | Gieri Simonett | |
dc.contributor.committeeMember | David Smith | |
dc.type.material | text | |
thesis.degree.name | PHD | |
thesis.degree.level | dissertation | |
thesis.degree.discipline | Mathematics | |
thesis.degree.grantor | Vanderbilt University | |
local.embargo.terms | 2019-03-21 | |
local.embargo.lift | 2019-03-21 | |
dc.contributor.committeeChair | Alexander Powell | |