Finitely generated ideals in the Nevanlinna class

2016/01/01 by Andreas Hartmann, Hartmann, Andreas, Xavier Massaneda +3
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1605.08160

openalex publication_date 2016/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• From H^∞ to N. Pointwise properties and algebraic structure in the Nevanlinna class
• M-ideals in H^∞(\mathbbD)
• Nevanlinna-Pick interpolation for C+BH^∞
• Multiplier ideal sheaves, Nevanlinna theory, and diophantine approximation
• Generators of maximal left ideals in Banach algebras