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http://hdl.handle.net/10773/15041
Title: | Discrete Hilbert boundary value problems on half lattices |
Author: | Cerejeiras, Paula Kähler, Uwe Ku, Min |
Keywords: | Discrete Dirac operator Discrete potential theory Discrete Hilbert problem Discrete Fourier transform |
Issue Date: | 2-Nov-2015 |
Publisher: | Taylor and Francis |
Abstract: | We study discrete Hilbert boundary value problems in the case of the upper half lattice. The solutions are given in terms of the discrete Cauchy transforms for the upper and lower half space while the study of their solvability is based on the discrete Hardy decomposition for the half lattice. Furthermore, the solutions are proved to converge to those of the associated continuous Hilbert boundary value problems. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15041 |
DOI: | 10.1080/10236198.2015.1071804 |
ISSN: | 1023-6198 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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10236198%2E2015%2E1071804.pdf | Documento principal | 1.75 MB | Adobe PDF | View/Open |
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