3 papers
math.CA2025
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…
math.CA2024
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…
math.FA2024
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…