The Spectrum of Volterra-type integration operators on generalized Fock spaces

TL;DR

This paper characterizes the spectrum of specific Volterra-type integration operators on generalized Fock spaces, expanding understanding of their spectral properties in complex analysis.

Contribution

It provides a detailed description of the spectrum of Volterra-type operators on generalized Fock spaces, a novel analysis in this context.

Findings

Spectrum characterized for these operators

Extension of spectral theory to generalized Fock spaces

New insights into operator behavior in complex spaces

Abstract

We describe the spectrum of certain integration operators acting on general- ized Fock spaces.