One Parameter Semigroups in Two Complex Variables

2021/06/19 by Michael R. Pilla, Pilla, Michael R.
Computer Science · Mathematics · #32A10 #32H50 #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2106.10585

openalex publication_date 2021/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 these results to two complex variables for maps of the unit ball into itself under some restricted conditions.

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