A. V. Semenov

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math.CV2025

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 ${e^{i λ_{n} t}}_{n \in N}$ …

math.CV2023

Frame set for shifted sinc-function

Yurii Belov, Andrei V. Semenov

We prove that frame set $F_{g}$ for imaginary shift of sinc-function $g (t) = \frac{sin π b ( t - i w )}{t - i w}, b, w \in R ∖ {0}$ can be described as $\mathcal{…

Hereditary completeness for systems of exponentials in weighted L2-spaces

Frame set for shifted sinc-function

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