Finitely generated ideals in the Nevanlinna class

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Abstract

In this paper we investigate finitely generated ideals in the Nevanlinna class. We prove analogues to some known results for the algebra of bounded analytic functions H∞. We also show that, in contrast to the H∞ case, the stable rank of the Nevanlinna class is strictly bigger than 1.

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Hartmann, A., Massaneda, X., & Nicolau, A. (2019). Finitely generated ideals in the Nevanlinna class. Israel Journal of Mathematics, 231(1), 139–179. https://doi.org/10.1007/s11856-019-1849-7

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