On the Eigenfunction Expansion of the Laplace-Beltrami Operator in Hyperbolic Space
| dc.contributor.author | Guseinov, Gusein Sh. | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:32:16Z | |
| dc.date.available | 2024-07-05T14:32:16Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We describe the spectral projection of the Laplace-Beltrami operator in n-dimensional hyperbolic space by studying its resolvent as an analytic operator-valued function and applying the technique of contour integration. As a result an integral formula is established for the associated Legendre function | en_US |
| dc.identifier.doi | 10.1080/17476933.2015.1012163 | |
| dc.identifier.issn | 1747-6933 | |
| dc.identifier.issn | 1747-6941 | |
| dc.identifier.scopus | 2-s2.0-84938749687 | |
| dc.identifier.uri | https://doi.org/10.1080/17476933.2015.1012163 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/785 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.ispartof | Complex Variables and Elliptic Equations | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | hyperbolic space | en_US |
| dc.subject | Laplace-Beltrami operator | en_US |
| dc.subject | spectral projection | en_US |
| dc.subject | eigenfunction expansion | en_US |
| dc.subject | associated Legendre function | en_US |
| dc.title | On the Eigenfunction Expansion of the Laplace-Beltrami Operator in Hyperbolic Space | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Hüseyin, Hüseyin Şirin | |
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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 | 1326 | en_US |
| gdc.description.issue | 10 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1309 | en_US |
| gdc.description.volume | 60 | en_US |
| gdc.description.wosquality | Q2 | |
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