Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 28
1994-12-26 発行

無限ネットワーク上の再生核の性質

Some Properties of Reproducing Kernels on an Infinite Network
Murakami, Atsushi
Yamasaki, Maretsugu
Yone-e, Yoshinori
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Description
It is shown that the extremal length of an infinite network satisfies a triangle inequality. A new formula for the extremal distance between two nodes will be given with the aid of a reproducing kernel. We shall discuss extremum problems related to Green functions.