45 citations · 56 across the 12 of their papers we have counts for
16 papers
A sharp discrete Sobolev inequality and left inverses of higher order differences
Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen +1
For integers , we determine the best constants in the inequalities where i…
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 sharp higher order Sobolev embedding
Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen +1
We obtain sharp embeddings from the Sobolev space into the space and determine the extremal functions. This improves on a previous estimate of the sha…
A reduction of the problem to a conjectured inequality
Gady Kozma, Shahaf Nitzan
We conjecture a new correlation-like inequality for percolation probabilities and support our conjecture with numerical evidence and a few special cases which we prove. This inequa…
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…