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math.CV2023
Linear Fractional Self-Maps of the Unit Ball in
Michael R. Pilla
Determining the range of complex maps plays a fundamental role in the study of several complex variables and operator theory. In particular, one is often interested in determining…
math.CV2021
One Parameter Semigroups in Two Complex Variables
Michael R. Pilla
For self maps of the disk, it can be shown that under the right conditions one can embed a discrete iteration of the map into a continuous semigroup. In this article we extend thes…
math.CV2021
A Generalized Cross Ratio
Michael R. Pilla
In one complex variable, the cross ratio is a well-known quantity associated with four given points in the complex plane that remains invariant under linear fractional maps. In par…