TY - JOUR
T1 - Szegö projections for hardy spaces of monogenic functions and applications
AU - Bernstein, Swanhild
AU - Lanzani, Loredana
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
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U2 - 10.1155/S0161171202011870
DO - 10.1155/S0161171202011870
M3 - Article
AN - SCOPUS:4344641731
VL - 29
SP - 613
EP - 624
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
SN - 0161-1712
IS - 10
ER -