Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains
<p/> <p>Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hölder continuous functions. Applications to holomorphic functions theory of several complex variable...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2010/513186 |
| _version_ | 1818971464578105344 |
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| author | Bory-Reyes Juan Bosch Paul Abreu-Blaya Ricardo |
| author_facet | Bory-Reyes Juan Bosch Paul Abreu-Blaya Ricardo |
| author_sort | Bory-Reyes Juan |
| collection | DOAJ |
| description | <p/> <p>Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hölder continuous functions. Applications to holomorphic functions theory of several complex variables as well as to that of the so-called biregular functions will be deduced directly from the isotonic approach.</p> |
| first_indexed | 2024-12-20T14:52:48Z |
| format | Article |
| id | doaj.art-bca1dc014d3c4f7f844289cb392977e3 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-20T14:52:48Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-bca1dc014d3c4f7f844289cb392977e32022-12-21T19:36:56ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-0120101513186Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal DomainsBory-Reyes JuanBosch PaulAbreu-Blaya Ricardo<p/> <p>Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hölder continuous functions. Applications to holomorphic functions theory of several complex variables as well as to that of the so-called biregular functions will be deduced directly from the isotonic approach.</p>http://www.boundaryvalueproblems.com/content/2010/513186 |
| spellingShingle | Bory-Reyes Juan Bosch Paul Abreu-Blaya Ricardo Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains Boundary Value Problems |
| title | Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains |
| title_full | Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains |
| title_fullStr | Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains |
| title_full_unstemmed | Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains |
| title_short | Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains |
| title_sort | extension theorem for complex clifford algebras valued functions on fractal domains |
| url | http://www.boundaryvalueproblems.com/content/2010/513186 |
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