Uniqueness sets with angular density for spaces of entire functions, III: how to minimize the type

Anna Kononova

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arXiv · 2605.20380

Uniqueness sets with angular density for spaces of entire functions, III: how to minimize the type

Anna Kononova

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Abstract

This note is the third part of our work devoted to uniqueness sets for spaces of entire functions. Given a discrete set $\Lambda$ with angular density $\Delta$ with respect to the order $\rho$, satisfying some regularity condition, we show that there exists a type-minimizing measure $\Delta_0$ with less than $2\rho$ discrete masses. For the case $\rho=2$, the value of the critical uniqueness type is found in geometric terms.

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Anna Kononova. 2026-05-19. Uniqueness sets with angular density for spaces of entire functions, III: how to minimize the type. https://arxiv.org/abs/2605.20380

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