6 citations · 8 across the 3 of their papers we have counts for
3 papers
math.CA2021★ 1 cited
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…
math.CA2014★ 6 cited
Exponential frames for unbounded sets
Shahaf Nitzan, Alexander Olevskii, Alexander Ulanovskii
For every set of finite measure in we construct a discrete set of real frequencies such that the exponential system is a frame in $L^2(S)…
math.CA2012★ 1 cited
A quantitative Balian-Low theorem
Shahaf Nitzan, Jan-Fredrik Olsen
We study functions generating Gabor Riesz bases on the integer lattice. The classical Balian-Low theorem restricts the simultaneous time and frequency localization of such function…