Some Properties of the Cauchy-Type Integral for the Laplace Vector Fields Theory
| dc.contributor.author | Schneider, B | |
| dc.contributor.author | Shapiro, M | |
| dc.date.accessioned | 2023-06-16T14:52:21Z | |
| dc.date.available | 2023-06-16T14:52:21Z | |
| dc.date.issued | 2004 | |
| dc.description | International Workshop on Global Analysis -- APR 15-17, 2004 -- Cankaya Univ, Ankara, TURKEY | en_US |
| dc.description.abstract | We study the analog of the Cauchy-type integral for the Laplace vector fields theory in case of a piece-wise Liapunov surface of integration and we prove the Sokhotski-Plemelj theorem for it as well as the necessary and sufficient condition for the possibility to extend a given Holder function from such a surface up to a Laplace vector field. Formula for the square of the singular Cauchy-type integral is given. The proofs of all these facts are based on intimate relations between Laplace vector field and some versions of quaternionic analysis. | en_US |
| dc.identifier.isbn | 0-7354-0209-4 | |
| dc.identifier.issn | 0094-243X | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/3011 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Inst Physics | en_US |
| dc.relation.ispartof | Global Analysıs And Applıed Mathematıcs | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Cauchy-type integral | en_US |
| dc.subject | Laplace vector fields theory | en_US |
| dc.subject | quaternionic analysis | en_US |
| dc.title | Some Properties of the Cauchy-Type Integral for the Laplace Vector Fields Theory | en_US |
| dc.type | Conference Object | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Tas, Kenan/0000-0001-8173-453X | |
| gdc.author.wosid | Tas, Kenan/D-8441-2011 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::conference output | |
| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey; Escuela Super Fis & Matemat, Dept Matemat, Mexico City 07300, DF, Mexico | en_US |
| gdc.description.endpage | 280 | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 274 | en_US |
| gdc.description.volume | 729 | en_US |
| gdc.description.wosquality | N/A | |
| gdc.identifier.wos | WOS:000224721800029 | |
| gdc.index.type | WoS | |
| gdc.virtual.author | Schneider, Baruch | |
| gdc.wos.citedcount | 2 | |
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