# Finitely generated ideals in the Nevanlinna class

1 IMB - Institut de Mathématiques de Bordeaux 2 Departament de Matemàtica Aplicada i Anàlisi 3 Departament de Matemàtiques

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 $H^{\infty}$. We also show that, in contrast to the $H^ {\infty}$-case, the stable rank of the Nevanlinna class is strictly bigger than 1.

Keywords : stable rank ideals Nevanlinna class corona theorem interpolation harmonic measure

Author: Andreas Hartmann - Xavier Massaneda - Artur Nicolau -

Source: https://hal.archives-ouvertes.fr/