A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform
arXiv:1911.12241 · doi:10.1007/s00041-020-09769-z
Abstract
In this note we provide a negative answer to a question raised by M. Kreisel concerning a condition on the short-time Fourier transform that would imply the HRT conjecture. In particular we provide a new type of uncertainty principle for the short-time Fourier transform which forbids the arrangement of an arbitrary "bump with fat tail" profile.
6 pages