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arXiv · 2503.18819

Decompositions of de Branges-Rovnyak spaces

Łanucha Bartosz·Michalska Małgorzata·Nowak Maria
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Abstract

We obtain orthogonal decompositions for de Branges-Rovnyak spaces $\H\left( \tfrac {I^n(1+I)}{2}\right)$ and $\H\left( \tfrac {I(1+I^2)}{2}\right)$, where $I$ is an inner function. We also discuss the problem of cyclicity for these spaces.

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Łanucha Bartosz, Michalska Małgorzata, Nowak Maria. 2025-03-24. Decompositions of de Branges-Rovnyak spaces. https://arxiv.org/abs/2503.18819

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