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Correlation functions on the upper half space
Abstract The boundary condition and solution of a Dirichlet problem on the upper half space are treated as random processes. It is shown that the first-and second-order statistics of the solution to this problem are completely determined by the corresponding statistics of the boundary condition. The mean of the solution is the mean of the process on the boundary. The correlation function of the solution above the boundary is related to its value on the boundary by a Poisson integral formula.
Correlation functions on the upper half space
Abstract The boundary condition and solution of a Dirichlet problem on the upper half space are treated as random processes. It is shown that the first-and second-order statistics of the solution to this problem are completely determined by the corresponding statistics of the boundary condition. The mean of the solution is the mean of the process on the boundary. The correlation function of the solution above the boundary is related to its value on the boundary by a Poisson integral formula.
Correlation functions on the upper half space
Bellaire, R. G. (author)
Bulletin géodésique ; 51
1977
Article (Journal)
English
Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie
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