Denis Zelent

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math.CA2026

A Note on the Norm of the Embedding of $PW^{2}$ into $PW^{q}$

Iñaki Garrido, Filippo Persico, Denis Zelent

We improve the currently best known bound for the norm of the embedding of $P W^{2}$ into $P W^{q}$ for all $q > 2$ . We show that our bound is asymptotically optimal as $q \to \infty$ . 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 $H$ consisting of functions $f$ such that $\int_{\mathbb{R}} |f(x)|^2(1+x^2) dx + \int_{\mathbb{R}} |…

A Note on the Norm of the Embedding of PW2 into PWq

Time frequency localization in the Fourier Symmetric Sobolev space

A Note on the Norm of the Embedding of $PW^{2}$ into $PW^{q}$