SPECTRAL ANALYSIS OF THE COMPLEX HILL OPERATOR ON THE STAR GRAPH

[EN] 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.Research supported by the Erasmus Mundus project ELECTRA, 2014.Rakib F. Efendiev; García-Raffi, LM. (2014). SPECTRAL ANALYSIS OF THE COMPLEX HILL OPERATOR ON THE STAR GRAPH. Proceedings of the Institute of Mathematics and Mechanics. 40(Special Issue 2014):124-132. http://hdl.handle.net/10251/66296S12413240Special Issue 201