Abstract
We introduce Szegö projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in □n. We use such projections to obtain explicit orthogonal decompositions for L 2 (bΩ). As an application, we obtain an explicit representation of the solution of the Dirichlet problem for balls and half spaces with L 2, Clifford algebra-valued, boundary datum.
Original language | English (US) |
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Pages (from-to) | 613-624 |
Number of pages | 12 |
Journal | International Journal of Mathematics and Mathematical Sciences |
Volume | 29 |
Issue number | 10 |
DOIs | |
State | Published - 2002 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics (miscellaneous)