# Nevanlinna classes for non radial weights in the unit disc. Applications

## TL;DR

This paper introduces Nevanlinna classes for non-radial weights in the unit disc, providing Blaschke type theorems and applications to eigenvalues of non-self-adjoint Schrödinger operators, offering new proofs and improvements.

## Contribution

It develops a new framework of Nevanlinna classes for non-radial weights and applies complex variables methods to derive Blaschke type theorems, enhancing previous results.

## Key findings

- Established Nevanlinna classes for non-radial weights
- Derived Blaschke type theorems using several complex variables
- Improved understanding of eigenvalues of non-self-adjoint Schrödinger operators

## Abstract

We introduce Nevanlinna classes associated to non radial weights in the unit disc in the complex plane and we get Blaschke type theorems relative to these classes by use of several complex variables methods. This gives alternative proofs and improve some results of Boritchev, Golinski and Kupin useful, in particular, for the study of eigenvalues of non self adjoint Schr\"odinger operators.