Solution to the first Cousin problem for vector-valued quasianalytic functions

TL;DR

This paper investigates vector-valued quasianalytic function spaces and addresses the classical first Cousin problem within these contexts, expanding understanding of complex function theory.

Contribution

It provides a solution to the first Cousin problem specifically for vector-valued quasianalytic functions, a novel extension in the field.

Findings

Solved the first Cousin problem for these function spaces

Extended classical complex analysis results to vector-valued quasianalytic functions

Contributed to the theory of quasianalytic functions

Abstract

We study spaces of vector-valued quasianalytic functions and solve the first Cousin problem in these spaces.