Beurling spectrum of functions in Banach space

TL;DR

This paper investigates the Beurling spectrum of functions valued in Banach spaces, with applications to functional delay differential equations, providing insights into their spectral properties.

Contribution

It introduces a new analysis of the Beurling spectrum for Banach space-valued functions and explores its implications for delay differential equations.

Findings

Characterization of the Beurling spectrum in Banach spaces

Application to stability analysis of delay differential equations

New spectral criteria for functional equations

Abstract

We are interested in Beurling spectrum of $\mathbb X-$valued functions with application in functional delay differential equations.