Poincare-Bertrand and Hilbert Formulas for the Cauchy-Cimmino Singular Integrals
| dc.contributor.author | Bory Reyes, Juan | |
| dc.contributor.author | Abreu Blaya, Ricardo | |
| dc.contributor.author | Antonio Perez-de la Rosa, Marco | |
| dc.contributor.author | Schneider, Baruch | |
| dc.date.accessioned | 2023-06-16T12:47:42Z | |
| dc.date.available | 2023-06-16T12:47:42Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | The Cimmino system offers a natural and elegant generalization to four-dimensional case of the Cauchy-Riemann system of first order complex partial differential equations. Recently, it has been proved that many facts from the holomorphic function theory have their extensions onto the Cimmino system theory. In the present work a Poincar,-Bertrand formula related to the Cauchy-Cimmino singular integrals over piecewise Lyapunov surfaces in is derived with recourse to arguments involving quaternionic analysis. Furthermore, this paper obtains some analogues of the Hilbert formulas on the unit 3-sphere and on the 3-dimensional space for the theory of Cimmino system. | en_US |
| dc.description.sponsorship | Instituto Politecnico Nacional; CONACYT | en_US |
| dc.description.sponsorship | J. Bory Reyes was partially supported by Instituto Politecnico Nacional in the framework of SIP programs. M. A. Perez-de la Rosa wish to thank Asociacion Mexicana de Cultura, A. C. and the Department of Mathematics, Center for Research and Development in Mathematics and Applications, University of Aveiro, Portugal, where the paper was written, for the invitation and hospitality. He acknowledges the support of a Postdoctoral Fellowship given by CONACYT. | en_US |
| dc.identifier.doi | 10.1007/s00006-017-0809-8 | |
| dc.identifier.issn | 0188-7009 | |
| dc.identifier.issn | 1661-4909 | |
| dc.identifier.scopus | 2-s2.0-85028847223 | |
| dc.identifier.uri | https://doi.org/10.1007/s00006-017-0809-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/839 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.ispartof | Advances in Applıed Clıfford Algebras | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Quaternionic analysis | en_US |
| dc.subject | Cimmino system | en_US |
| dc.subject | Poincare-Bertrand formula | en_US |
| dc.subject | Hilbert formulas | en_US |
| dc.subject | Transport-Theory | en_US |
| dc.subject | Unit-Sphere | en_US |
| dc.subject | System | en_US |
| dc.title | Poincare-Bertrand and Hilbert Formulas for the Cauchy-Cimmino Singular Integrals | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Bory-Reyes, Juan/0000-0002-7004-1794 | |
| gdc.author.id | Perez de la Rosa, Marco Antonio/0000-0003-3498-2914 | |
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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] Inst Politecn Nacl, SEPI ESIME Zacatenco, Mexico City 07738, DF, Mexico; [Abreu Blaya, Ricardo] Univ Holguin, Fac Informat & Matemat, Holguin 80100, Cuba; [Antonio Perez-de la Rosa, Marco] Inst Tecnol Autnomo Mexico, Dept Matemat, Mexico City 01080, DF, Mexico; [Schneider, Baruch] Izmir Univ Econ, Fac Sci & Literature, Dept Math, TR-35330 Izmir, Turkey | en_US |
| gdc.description.endpage | 2960 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 2933 | en_US |
| gdc.description.volume | 27 | en_US |
| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | quaternionic analysis | |
| gdc.oaire.keywords | Functions of hypercomplex variables and generalized variables | |
| gdc.oaire.keywords | Hilbert formulas | |
| gdc.oaire.keywords | Cimmino system | |
| gdc.oaire.keywords | Poincaré-Bertrand formula | |
| gdc.oaire.keywords | four-dimensional space | |
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| gdc.virtual.author | Schneider, Baruch | |
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