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Title: Szegö Kernel for Hardy space of matrix functions
Author: He, Fuli
Ku, Min
Kähler, Uwe
Keywords: Hardy space
Hermitean Clifford analysis
Szegö projection
Matrix function
Issue Date: Jan-2016
Publisher: Elsevier
Abstract: By the characterization of the matrix Hilbert transform in the Hermitian Clifford analysis, we introduce the matrix Szegö projection operator for the Hardy space of Hermitean monogenic functions defined on a bounded sub-domain of even dimensional Euclidean space, establish the Kerzman-Stein formula which closely connects the matrix Szegö projection operator with the Hardy projection operator onto the Hardy space, and get the matrix Szegö projection operator in terms of the Hardy projection operator and its adjoint. Furthermore, we construct the explicit matrix Szegö kernel function for the Hardy space on the sphere as an example, and get the solution to a boundary value problem for matrix functions.
Peer review: yes
DOI: 10.1016/S0252-9602(15)30088-6
ISSN: 0252-9602
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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