Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15034
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 |
URI: | http://hdl.handle.net/10773/15034 |
DOI: | 10.1016/S0252-9602(15)30088-6 |
ISSN: | 0252-9602 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
actams(szego).pdf | Documento principal | 341.09 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.