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Title: Interpolation of monogenic functions by using reproducing kernel Hilbert spaces
Author: Cerejeiras, Paula
Kahler, Uwe
Legatiuk, Dmitrii
Keywords: Bergman kernel
Monogenic function
Reproducing kernel
Sparsity constrain
Issue Date: 17-Sep-2018
Publisher: Wiley
Abstract: In this paper, we present results on interpolation of monogenic functions in the unit ball of R^3 using reproducing kernels and randomly chosen interpolation points. The main theoretical results are proved based on the concept of uniformly discrete sequences. Furthermore, estimates for the interpolation error as well as for the eigenvalues of the interpolation problems are presented. Numerical results are presented in the end.
Peer review: yes
DOI: 10.1002/mma.5271
ISSN: 0170-4214
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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