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島根大学理学部紀要 Volume 28
published_at 1994-12-26
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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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.
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