Abstract:
We obtain asymptotic estimates for canonical products with
complex zeros of the form $\lambda_n=n+o(n)$. A formula is found
for the excess of the system of exponentials
$\{e^{i\lambda_nt}\}_{n\in\mathbb{Z}}$ in the space
$L^2(-\pi,\pi)$. We consider some particular cases
of sequences $\{\lambda_n\}_{n\in\mathbb{Z}}$.
Keywords:canonical product, asymptotic estimate, slowly varying function, excess of a system.
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