SPECTRAL ANALYSIS OF THE COMPLEX HILL OPERATOR ON THE STAR GRAPH

Rakib F. Efendiev, García Raffi Luis Miguel

2014

Proceedings of the Institute of Mathematics and Mechanics (Print)

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.