Yurii Belov

collaborators

4 papers

math.SP2026

Resonances sets of SchrÃ¶dinger operators

Yurii Belov, Pavel Gubkin

We prove that resonances of the SchrÃ¶dinger operator with compactly supported potential can contain arbitrary subset of the angle ${z : - Im z > C ∣ Re z ∣}$ that sati…

math.FA2025

Frames for compactly supported functions with irrational density

Yurii Belov, Aleksei Kulikov

We find sufficient conditions on a compactly supported function $g$ , $\supp g = [a,b]$ which guarantee that the Gabor system $$\mathcal{G}(g;Î±,Î²)=\{e^{2Ïi Î²m x}g(x-Î±n)\}_{m,n\…

math.FA2025

Shift-invariant sampling in two-sided small Fock spaces

Yurii Belov, Mikhail Mironov

We consider the sampling problem for two-sided small Fock spaces $F_{I^}^{p} \pm$ , for the full range $0 < p \leq \infty$ . We establish a geometric description of shift-invariant…

math.FA2025

Gabor frames for functions supported on a semi-axis

Yurii Belov, Aleksei Kulikov

Let $g \in L^{2} (R)$ be a strictly decreasing continuous function supported on $R_{+}$ such that for all $t > 0$ we have $g (x + t) \leq q (t) g (x)$ for some $q (t) < 1$ . We pro…