Trigonometric Convexity for the Multidimensional Indicator after Ivanov
Complex Variables
2024-01-08 v2
Abstract
Multidimensional indicator after Ivanov is a generalization of the notion of indicator, that is well-known for analytic functions in one complex variable, to analytic functions in several complex variables. We prove an analogue of trigonometric convexity for it. Additionally, we show that our estimate is sharp. The proof is based on the multidimensional analogue of the sectorial Fourier inversion formula.
Cite
@article{arxiv.2205.02585,
title = {Trigonometric Convexity for the Multidimensional Indicator after Ivanov},
author = {Aleksandr Mkrtchyan and Armen Vagharshakyan},
journal= {arXiv preprint arXiv:2205.02585},
year = {2024}
}