A. V. Semenov

collaborators

2 papers

math.FA2026

Universal frame set for rational functions

Andrei V. Semenov

Let $g \in L^{2} (R)$ be a rational function of degree $M$ , i.e., there exist polynomials $P, Q$ such that $g = \frac{P}{Q}$ and $d e g (P) < d e g (Q) \leq M$ . We prove that for a…

math.CV2026

Hereditary completeness for systems of exponentials in weighted $L^{2}$ -spaces

Andrei V. Semenov

We prove that for any weight $w$ , which has at most polynomial decay at the endpoints of the interval, there exists a complete and minimal system $\{e^{iÎ»_n t}\}_{n\in \mathbb{N}}…

Universal frame set for rational functions

Hereditary completeness for systems of exponentials in weighted L2-spaces

Hereditary completeness for systems of exponentials in weighted $L^{2}$ -spaces