Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 14
1980-12-20 発行

無限ネットワークの重調和グリーン関数

Biharmonic Green Function of an Infinite Network
Yamasaki, Maretsugu
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Description
We discuss the existence and some properties of the biharmonic Green function of an infinite network. Our results are very analogous to that of a Riemannian manifold. Some potemtial-theoretic characterizations of the network are also given by means of the biharmonic Green function.