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)|
|Number of pages||12|
|Journal||International Journal of Mathematics and Mathematical Sciences|
|State||Published - 2002|
ASJC Scopus subject areas
- Mathematics (miscellaneous)