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Existence of Compositional Square-Roots of Functions

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Mathematical Analysis and Applications in Modeling (ICMAAM 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 302))

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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.

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References

  1. Archana, M.: Forcing relation and conjugacy classification for a class of interval maps. Ph.D. Thesis, University of Hyderabad (2018)

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  3. Kannan, V., Unnikrishnan, N.: Compositional square roots. Pre-print

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Correspondence to V. Kannan .

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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

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