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.
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/66296 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/66296 |
| Access Level: | acceso abierto |
| Palavra-chave: | Noncompact graphs, inverse spectral problems, Hill operator. MATEMATICA APLICADA |
| Resumo: | [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. |
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