45 citations · 56 across the 12 of their papers we have counts for
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On the lower Riesz basis bound of exponential systems over an interval
Thibaud Alemany, Shahaf Nitzan
We revisit Pavlov's characterization for Riesz bases of exponentials and study the corresponding lower Riesz basis bounds. In particular, this approach allows us to improve on know…
On uniformly minimal and 'uniformly complete' exponential systems
Shahaf Nitzan
A.Olevskii and A.Ulanovskii obtained a scale of density results, which correspond to how well an exponential system approximates a uniformly minimal system over a compact set. We e…
A set with no Riesz basis of exponentials
Gady Kozma, Shahaf Nitzan, Alexander Olevskii
We show that there exists a bounded subset of R such that no system of exponentials can be a Riesz basis for the corresponding Hilbert space. An additional result gives a lower bou…
Balian-Low type theorems in finite dimensions
Shahaf Nitzan, Jan-Fredrik Olsen
We formulate and prove finite dimensional analogs for the classical Balian-Low theorem, and for a quantitative Balian-Low type theorem that, in the case of the real line, we obtain…
Density of Gabor Systems Via the Short Time Fourier Transform
Andrew Ahn, William Clark, Shahaf Nitzan +1
We apply a new approach to the study of the density of Gabor systems, and obtain a simple and straightforward proof of Ramanathan and Steger's well known result regarding the densi…
Combining Riesz bases in
Gady Kozma, Shahaf Nitzan
We prove that every finite union of rectangles in admits a Riesz basis of exponentials.