3 papers
math.CA2026
A Note on the Norm of the Embedding of into
Iñaki Garrido, Filippo Persico, Denis Zelent
We improve the currently best known bound for the norm of the embedding of into for all . We show that our bound is asymptotically optimal as . Our…
math.FA2026
Extreme and exposed points of shift-invariant spaces generated by Gaussian kernel and hyperbolic secant
Markus Valås Hagen, Alexander Ulanovskii, Denis Zelent +1
We characterize the extreme and exposed points of the unit ball (with respect to the -norm) in the shift-invariant space generated by the Gaussian function, as well as in the…
math.CA2025
Time frequency localization in the Fourier Symmetric Sobolev space
Denis Zelent
We study concentration operators acting on the Fourier symmetric Sobolev space consisting of functions such that $\int_{\mathbb{R}} |f(x)|^2(1+x^2) dx + \int_{\mathbb{R}} |…