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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |