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math.FA2022★ 1 cited
A Fractal Uncertainty Principle for the Short-Time Fourier Transform and Gabor multipliers
Helge Knutsen
We study the fractal uncertainty principle in the joint time-frequency representation, and we prove a version for the Short-Time Fourier transform with Gaussian window on the modul…
math.FA2021
Daubechies' Time-Frequency Localization Operator on Cantor Type Sets II
Helge Knutsen
We study a version of the fractal uncertainty principle in the joint time-frequency representation. Namely, we consider Daubechies' localization operator projecting onto sphericall…
math.FA2019
Daubechies' Time-Frequency Localization Operator on Cantor Type Sets
Helge Knutsen
We study Daubechies' time-frequency localization operator, which is characterized by a window and weight function. We consider a Gaussian window and a spherically symmetric weight…