# About a conjecture on difference equations in quasianalytic Carleman classes

## TL;DR

This paper investigates the solvability of linear difference equations within quasianalytic Carleman classes, providing partial progress towards a longstanding conjecture in the field.

## Contribution

It offers a partial solution to a conjecture concerning the solvability of difference equations in quasianalytic Carleman classes, advancing understanding in this area.

## Key findings

- Partial answer to the conjecture on difference equations
- Insights into the structure of quasianalytic Carleman classes
- Progress towards full resolution of the conjecture

## Abstract

In this paper we obtain a partial answer to a conjecture on the solvabilty of linear difference equations in quasianalytic Carleman classes.