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arXiv · 2505.05649

Cowen-Douglas operators and analytic continuation

Paweł Pietrzycki
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Abstract

In this paper, we study certain Banach spaces of analytic functions on which a left-invertible multiplication operator acts. It turns out that, under natural conditions, its left inverse is a Cowen-Douglas operator. We investigate how the analytic continuations of functions from an invariant subspace of this Cowen-Douglas operator relate to the spectrum of its restriction to that subspace.

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Paweł Pietrzycki. 2025-05-08. Cowen-Douglas operators and analytic continuation. https://arxiv.org/abs/2505.05649

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