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arXiv · 2406.02901

Functions with image in a strip

Tirthankar Bhattacharyya·Anthony G. O'Farrell·Shubham Rastogi·Vijaya Kumar U
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Abstract

We consider holomorphic functions on the unit disc whose images are contained in a strip of the complex plane. Under an additional condition, such functions are constants. We also consider appropriate operator valued versions. Applications are found to the theory of semigroups.

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Tirthankar Bhattacharyya, Anthony G. O'Farrell, Shubham Rastogi, Vijaya Kumar U. 2024-06-05. Functions with image in a strip. https://doi.org/10.1142/s0219025724400083

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