On the Resolvent of the Laplace-Beltrami Operator in Hyperbolic Space
| dc.contributor.author | Guseinov, Gusein Sh. | |
| dc.date.accessioned | 2024-07-05T14:32:27Z | |
| dc.date.available | 2024-07-05T14:32:27Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | In this paper, a detailed description of the resolvent of the Laplace-Beltrami operator in n-dimensional hyperbolic space is given. The resolvent is an integral operator with the kernel (Green's function) being a solution of a hypergeometric differential equation. Asymptotic analysis of the solution of this equation is carried out. | en_US |
| dc.identifier.doi | 10.1017/S1446788715000099 | |
| dc.identifier.issn | 1446-7887 | |
| dc.identifier.issn | 1446-8107 | |
| dc.identifier.scopus | 2-s2.0-84941024488 | |
| dc.identifier.uri | https://doi.org/10.1017/S1446788715000099 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/814 | |
| dc.language.iso | en | en_US |
| dc.publisher | Cambridge Univ Press | en_US |
| dc.relation.ispartof | Journal of the Australian Mathematical Society | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | hyperbolic space | en_US |
| dc.subject | Laplace-Beltrami operator | en_US |
| dc.subject | Green's function | en_US |
| dc.subject | resolvent | en_US |
| dc.title | On the Resolvent of the Laplace-Beltrami Operator in Hyperbolic Space | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 206 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 186 | en_US |
| gdc.description.volume | 99 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2047427959 | |
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| gdc.oaire.keywords | hyperbolic space | |
| gdc.oaire.keywords | PDEs on manifolds | |
| gdc.oaire.keywords | Laplace-Beltrami operator | |
| gdc.oaire.keywords | Spectral problems; spectral geometry; scattering theory on manifolds | |
| gdc.oaire.keywords | General topics in linear spectral theory for PDEs | |
| gdc.oaire.keywords | resolvent | |
| gdc.oaire.keywords | Spectrum, resolvent | |
| gdc.oaire.keywords | Green's function | |
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| gdc.oaire.sciencefields | 03 medical and health sciences | |
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| gdc.virtual.author | Hüseyin, Hüseyin Şirin | |
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