Abstract
If f and g are two functions such that \(g\circ g=f\), we say that g is a compositional square root of f. Here we discuss the question as to which maps admit a square root in this sense.
A part of the work was done when the author was a Visiting Professor, C. R. Rao AIIMS, University of Hyderabad.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Archana, M.: Forcing relation and conjugacy classification for a class of interval maps. Ph.D. Thesis, University of Hyderabad (2018)
Archana, M., Kannan, V.: Intervals containing all periodic points. R. Anal. Exch. 263–270 (2017)
Kannan, V., Unnikrishnan, N.: Compositional square roots. Pre-print
Rice, R.E., Schweizer, B., Sklar, A.: When is \(az^2+bz+c\) of the form \(f(f(z))\)? American Mathematical Monthly. 87, 252–263 (1980)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Kannan, V. (2020). Existence of Compositional Square-Roots of Functions. In: Roy, P., Cao, X., Li, XZ., Das, P., Deo, S. (eds) Mathematical Analysis and Applications in Modeling. ICMAAM 2018. Springer Proceedings in Mathematics & Statistics, vol 302. Springer, Singapore. https://doi.org/10.1007/978-981-15-0422-8_10
Download citation
DOI: https://doi.org/10.1007/978-981-15-0422-8_10
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-0421-1
Online ISBN: 978-981-15-0422-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)