Functions with image in a strip
Functional Analysis
2024-06-12 v2
Abstract
We consider holomorphic functions on the unit disc whose images are contained in a strip of the complex plane. Under an additional condition, such functions are constants. We also consider appropriate operator valued versions. Applications are found to the theory of semigroups.
Cite
@article{arxiv.2406.02901,
title = {Functions with image in a strip},
author = {Tirthankar Bhattacharyya and Anthony G. O'Farrell and Shubham Rastogi and Vijaya Kumar U},
journal= {arXiv preprint arXiv:2406.02901},
year = {2024}
}
Comments
To appear in Infinite Dimensional Analysis, Quantum Probability and Related Topics