New composition products for complex harmonic functions, the dynamic with respect to these and composition operators induced
Complex Variables
2022-02-08 v1
Abstract
In this work we propose composition products in the class of complex harmonic functions so that the composition of two such functions is again a complex harmonic function. From here we begin the study of the iterations of the functions of this class showing briefly their potential to be a topic of future research. In parallel, we define and study composition operators whose symbols belong to a Hardy space of complex harmonic functions also introduced in the work. All this constitutes a previous work for the research of semigroups and evolutionary families composed of complex harmonic functions.
Cite
@article{arxiv.2202.03201,
title = {New composition products for complex harmonic functions, the dynamic with respect to these and composition operators induced},
author = {Luis E. Benítez and Raúl Felipe},
journal= {arXiv preprint arXiv:2202.03201},
year = {2022}
}
Comments
10 pages