5 papers · 1 filter
The Fourier Ratio and complexity of signals
K. Aldaleh, W. Burstein, G. Garza +12
We study the Fourier ratio of a signal , \[ \mathrm{FR}(f)\ :=\ \sqrt{N}\,\frac{\|\widehat f\|_{L^1(μ)}}{\|\widehat f\|_{L^2(μ)}} \ =\ \frac{\|\widehat f…
Orlicz spaces and the uncertainty principle
A. Iosevich, I. Li, Z. Li +1
Let be a finite signal. The classical uncertainty principle tells us that the product of the support of and the support of , the Fourier transform of , must sat…
On spectral synthesis in
P. Bhowmik, S. Deodhar, A. Iosevich
A classical result due to Agranovsky and Narayanan (\cite{AN04}) says that if the support of the Fourier transform of is carried by a smooth meas…
Fourier minimization and imputation of time series
Will Burstein, Alex Iosevich, Azita Mayeli +1
One of the most common procedures in modern data analytics is filling in missing values in times series. For a variety of reasons, the data provided by clients to obtain a forecast…
Uncertainty Principle, annihilating pairs and Fourier restriction
Philippe Jaming, Alexander Iosevich, Azita Mayeli
Let be a locally compact abelian group, and let denote its dual group, equipped with a Haar measure. A variant of the uncertainty principle states that for any $S…