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Uniqueness sets with angular density for spaces of entire functions, I. Basics by Kononova, Anna is a scholarly article available to read on EtoBox.

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This is the first part of our work which is devoted to the uniqueness sets for spaces of entire functions. In this part we consider a set $\Lambda$ with angular density with respect to the order $\rho>0,$ satisfying the Lindel\"of condition. We find the value of the critical zero set type for $\Lambda$ in geometrical terms. We give a necessary and sufficient condition for the coincidence of the critical zero set type and the critical uniqueness set type. At the end of the paper we present an application of our results to random zero sets in Fock-type spaces.

Author

Kononova, Anna

Published

2025

Language

EN