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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
DOI: 10.1080/10236198.2015.1071804
ISSN: 1023-6198
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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