Szegő projections for hardy spaces of monogenic functions and applications
We introduce Szegő projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in ℝn. We use such projections to obtain explicit orthogonal decompositions for L2(bΩ). As an application, we obtain an explicit representation of the solution of the Dirichlet problem for balls and...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202011870 |
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| _version_ | 1832567244428673024 |
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| author | Swanhild Bernstein Loredana Lanzani |
| author_facet | Swanhild Bernstein Loredana Lanzani |
| author_sort | Swanhild Bernstein |
| collection | DOAJ |
| description | We introduce Szegő projections for Hardy spaces of monogenic
functions defined on a bounded domain Ω in ℝn.
We use such projections to obtain explicit orthogonal
decompositions for L2(bΩ). As an application, we obtain an
explicit representation of the solution of the Dirichlet problem
for balls and half spaces with L2, Clifford algebra-valued,
boundary datum. |
| format | Article |
| id | doaj-art-994e73d969fd4541a6ec9e9dadb6f8c3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-994e73d969fd4541a6ec9e9dadb6f8c32025-02-03T01:01:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01291061362410.1155/S0161171202011870Szegő projections for hardy spaces of monogenic functions and applicationsSwanhild Bernstein0Loredana Lanzani1Institute of Mathematics and Physics, Bauhaus-Universität Weimar, Coudraystr. 13b, Weimar 99421, GermanyDepartment of Mathematics, The University of Arkansas at Fayetteville, Fayetteville 72701, AR, USAWe introduce Szegő projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in ℝn. We use such projections to obtain explicit orthogonal decompositions for L2(bΩ). As an application, we obtain an explicit representation of the solution of the Dirichlet problem for balls and half spaces with L2, Clifford algebra-valued, boundary datum.http://dx.doi.org/10.1155/S0161171202011870 |
| spellingShingle | Swanhild Bernstein Loredana Lanzani Szegő projections for hardy spaces of monogenic functions and applications International Journal of Mathematics and Mathematical Sciences |
| title | Szegő projections for hardy spaces of monogenic functions and applications |
| title_full | Szegő projections for hardy spaces of monogenic functions and applications |
| title_fullStr | Szegő projections for hardy spaces of monogenic functions and applications |
| title_full_unstemmed | Szegő projections for hardy spaces of monogenic functions and applications |
| title_short | Szegő projections for hardy spaces of monogenic functions and applications |
| title_sort | szego projections for hardy spaces of monogenic functions and applications |
| url | http://dx.doi.org/10.1155/S0161171202011870 |
| work_keys_str_mv | AT swanhildbernstein szegoprojectionsforhardyspacesofmonogenicfunctionsandapplications AT loredanalanzani szegoprojectionsforhardyspacesofmonogenicfunctionsandapplications |