Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains
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...
| 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://dx.doi.org/10.1155/2010/513186 |
| _version_ | 1828772004482777088 |
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| author | Paul Bosch Ricardo Abreu-Blaya Juan Bory-Reyes |
| author_facet | Paul Bosch Ricardo Abreu-Blaya Juan Bory-Reyes |
| author_sort | Paul Bosch |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T14:36:40Z |
| format | Article |
| id | doaj.art-d803fbf9c4e24ab0ba572e6aa1bcb94d |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-11T14:36:40Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-d803fbf9c4e24ab0ba572e6aa1bcb94d2022-12-22T01:02:09ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-01201010.1155/2010/513186Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal DomainsPaul BoschRicardo Abreu-BlayaJuan Bory-ReyesMonogenic 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.http://dx.doi.org/10.1155/2010/513186 |
| spellingShingle | Paul Bosch Ricardo Abreu-Blaya Juan Bory-Reyes 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://dx.doi.org/10.1155/2010/513186 |
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