1 citations · 1 across the 5 of their papers we have counts for
6 papers
Stability of concentration in the Paley-Wiener space
Denis Zelent
We prove stability of concentration in the Paley-Wiener space for each fixed time-bandwidth product. The concentration deficit controls the squared -distance from a…
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…
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…
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}} |…
Transitivity of implicative aBE algebras
Denis Zelent
We prove that every implicative aBE algebra satisfies the transitivity property. This means that every implicative aBE algebra is a Tarski algebra, and thus is also a commutative B…
On Traczyk's BCK-sequences
Denis Zelent
BCK-sequences and n-commutative BCK-algebras were introduced by T. Traczyk, together with two related problems. The first one, whether BCK-sequences are always prolongable. The sec…