SPECTRAL ANALYSIS OF THE COMPLEX HILL OPERATOR ON THE STAR GRAPH

Autores UPV
Año
Revista Proceedings of the Institute of Mathematics and Mechanics (Print)

Abstract

The analysis of Hill operator is extended from the real line to a star graph. Generalizing the problem, a detailed analysis of the Hill operator on L2(G) is provided. An explicit description of the resolvent is given and the spectrum is described exactly, solved inverse problem.