Yurii Belov

collaborators

Showing math.FAShow all

3 papers · 1 filter

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;α,β)=\{e^{2πi βm x}g(x-αn)\}_{m,n\in\ma…

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 $F_{α}^{p}$ , for the full range $0 < p \leq \infty$ . We establish a geometric description of shift-invariant s…

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…