## Title:
HRT Conjecture for certain Classes of Elementary Functions
## Abstract:
Stated more than 20 years ago, the Heil, Ramanathan, and Topiwala (HRT)
conjecture states "Each finite Gabor system generated by a nonzero square
integrable function is a set of linearly independent functions." A Gabor
system is a collection of time-frequency shifts of a fixed non zero measurable
function. Despite the simplicity of its statement, the conjecture is still
open for the general case. Based on a paper by J. Benedetto and the presenter,
this talk presents results on HRT for finite Gabor systems generated by certain
classes of elementary functions. For example, the paper proves HRT for an
arbitrary Gabor system generated by exp(-|x|) or by any nonzero square integrable rational function.
## Biography: |

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