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Convergence and applications of reproducing kernels for classes of discrete harmonic functions

Published online by Cambridge University Press:  17 April 2009

C. Wayne Mastin
C. Wayne Mastin
Affiliation:
Department of Mathematics, Mississippi State University, Mississippi, USA.
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Abstract

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This paper gives convergence properties and applications of the discrete analogs of reproducing kernels for various families of harmonic functions. From these results information is obtained on the solution of interpolation problems, the convergence of the discrete Neumann's function, and the solution to problems involving the discrete biharmonic operator.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 3 , December 1974 , pp. 339 - 358
Copyright
Copyright © Australian Mathematical Society 1974

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