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Bibliographic Details
Main Author: Mkrtchyan, Aleksandr
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.17021
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Table of Contents:
  • We consider the problem of continuability into a sectorial domain for multiple power series and prove the multivariate analog of the Le Roy-Lindelöf theorem, i.e. establish a connection between the growth of the holomorphic function interpolating the series coefficients in the imaginary subspace and the sectoral domain where the multiple power series is analytically continued to.