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math.CA2026
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…
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.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}} |…