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. © 2002 Hindawi Publishing Corporation. All rights reserved.
Titolo: | Szegö projections for hardy spaces of monogenic functions and applications | |
Autore/i: | Bernstein S.; Lanzani L. | |
Autore/i Unibo: | ||
Anno: | 2002 | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.1155/S0161171202011870 | |
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. © 2002 Hindawi Publishing Corporation. All rights reserved. | |
Data stato definitivo: | 2022-02-28T16:20:54Z | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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