Quadratic Pencil of Difference Equations: Jost Solutions, Spectrum, and Principal Vectors
| dc.contributor.author | Adıvar, Murat | |
| dc.date.accessioned | 2023-06-16T14:40:42Z | |
| dc.date.available | 2023-06-16T14:40:42Z | |
| dc.date.issued | 2010-11-30 | |
| dc.description.abstract | In this paper, a quadratic pencil of Schrodinger type difference operator L is taken under investigation to provide a general perspective for the spectral analysis of non-selfadjoint difference equations of second order. Introducing Jost-type solutions, structure and quantitative properties of the spectrum of L are investigated. Therefore, a discrete analog of the theory in [6] and [7] is developed. In addition, several analogies are established between difference and q-difference cases. Finally, the principal vectors of L are introduced to lay a groundwork for the spectral expansion. | en_US |
| dc.identifier.doi | 10.2989/16073606.2010.507323 | |
| dc.identifier.issn | 1607-3606 | |
| dc.identifier.issn | 1727-933X | |
| dc.identifier.scopus | 2-s2.0-79955369210 | |
| dc.identifier.uri | https://doi.org/10.2989/16073606.2010.507323 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/2449 | |
| dc.language.iso | en | en_US |
| dc.publisher | Natl Inquiry Services Centre Pty Ltd | en_US |
| dc.relation.ispartof | Quaestıones Mathematıcae | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Eigenvalue | en_US |
| dc.subject | Jost solution | en_US |
| dc.subject | principal function | en_US |
| dc.subject | quadratic pencil of difference equation | en_US |
| dc.subject | q-difference equation | en_US |
| dc.subject | spectral analysis | en_US |
| dc.subject | spectral singularity | en_US |
| dc.subject | Singularities | en_US |
| dc.subject | Operators | en_US |
| dc.title | Quadratic Pencil of Difference Equations: Jost Solutions, Spectrum, and Principal Vectors | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | ADIVAR, Murat/0000-0002-9707-2005 | |
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| gdc.author.wosid | ADIVAR, Murat/N-3430-2018 | |
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| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | İEÜ, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| gdc.description.departmenttemp | Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey | en_US |
| gdc.description.endpage | 323 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 305 | en_US |
| gdc.description.volume | 33 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2061469185 | |
| gdc.identifier.wos | WOS:000284632000004 | |
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| gdc.oaire.keywords | Mathematics - Spectral Theory | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Spectral Theory (math.SP) | |
| gdc.oaire.keywords | 39A10, 39A12, 39A13 | |
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| gdc.virtual.author | Adivar, Murat | |
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