Dirichlet-Type Problems for the Two-Dimensional Helmholtz Operator in Complex Quaternionic Analysis
| dc.contributor.author | Bory-Reyes, Juan | |
| dc.contributor.author | Abreu-Blaya, Ricardo | |
| dc.contributor.author | Hernandez-Simon, Luis M. | |
| dc.contributor.author | Schneider, Baruch | |
| dc.date.accessioned | 2023-06-16T12:47:42Z | |
| dc.date.available | 2023-06-16T12:47:42Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | This study aims to study a class of Dirichlet-type problems associated with the two-dimensional Helmholtz equation with complex potential. Orthogonal decompositions of the complex quaternionic-valued Sobolev space as well as the corresponding orthoprojections onto the subspaces of theses decompositions are obtained. Analytic representation formulas for the underlying solutions in terms of hypercomplex integral operators are established. | en_US |
| dc.description.sponsorship | Instituto Politecnico Nacional of SIP programs | en_US |
| dc.description.sponsorship | J. Bory-Reyes and L. M. Hernandez-Simon were partially supported by Instituto Politecnico Nacional in the framework of SIP programs. | en_US |
| dc.identifier.doi | 10.1007/s00009-016-0781-x | |
| dc.identifier.issn | 1660-5446 | |
| dc.identifier.issn | 1660-5454 | |
| dc.identifier.scopus | 2-s2.0-84982300645 | |
| dc.identifier.uri | https://doi.org/10.1007/s00009-016-0781-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/841 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.ispartof | Medıterranean Journal of Mathematıcs | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Quaternionic analysis | en_US |
| dc.subject | Helmholtz operator | en_US |
| dc.subject | Dirichlet-type problems | en_US |
| dc.subject | Electromagnetic Scattering | en_US |
| dc.title | Dirichlet-Type Problems for the Two-Dimensional Helmholtz Operator in Complex Quaternionic Analysis | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Bory-Reyes, Juan/0000-0002-7004-1794 | |
| gdc.author.id | HERNANDEZ SIMON, LUIS MANUEL/0000-0003-3028-3550 | |
| gdc.author.scopusid | 56041797600 | |
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| gdc.author.wosid | Bory-Reyes, Juan/K-7658-2017 | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Bory-Reyes, Juan; Hernandez-Simon, Luis M.] Inst Politecn Nacl, ESIME Zacatenco, Mexico City 07738, DF, Mexico; [Abreu-Blaya, Ricardo] Univ Holguin, Fac Informat & Matemat, Holguin 80100, Cuba; [Schneider, Baruch] Izmir Univ Econ, Fac Sci & Literature, Dept Math, TR-35330 Izmir, Turkey | en_US |
| gdc.description.endpage | 4916 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 4901 | en_US |
| gdc.description.volume | 13 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2508310795 | |
| gdc.identifier.wos | WOS:000387090000067 | |
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| gdc.oaire.keywords | quaternionic analysis | |
| gdc.oaire.keywords | Helmholtz operator | |
| gdc.oaire.keywords | Functions of hypercomplex variables and generalized variables | |
| gdc.oaire.keywords | Dirichlet-type problems | |
| gdc.oaire.keywords | Boundary value and inverse problems for harmonic functions in higher dimensions | |
| gdc.oaire.popularity | 2.3826459E-9 | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.opencitations.count | 4 | |
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| gdc.scopus.citedcount | 4 | |
| gdc.virtual.author | Schneider, Baruch | |
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