Chaotic Differentiation Operators on Harmonic Functions and Simple Connectivity

Author(s)

Kit C. Chan, Bowling Green State UniversityFollow
Gokul R. Kadel
Leonardo Pinheiro

Document Type

Article

Abstract

We characterize the simple connectivity of a planar region in terms of the dynamics of differentiation operators on the space of complex-valued harmonic functions on the region.

Repository Citation

Chan, Kit C.; Kadel, Gokul R.; and Pinheiro, Leonardo, "Chaotic Differentiation Operators on Harmonic Functions and Simple Connectivity" (2015). Mathematics and Statistics Faculty Publications. 30.
https://scholarworks.bgsu.edu/math_stat_pub/30

Publication Date

2015

Publication Title

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

Publisher

Springer

DOI

https://doi.org/10.1007/s13398-014-0188-0

Volume

109

Start Page No.

385

End Page No.

393