離散型ポテンシャルとその性質-1-〔英文〕

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タイトル別名
  • Discrete Potential and its Properties I (A. NATURAL SCIENCE)
  • リサンガタ ポテンシャル ト ソノ セイシツ 1 エイブン
  • 離散型ポテンシャルとその性質 I(A. 理学)

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We expand properties about the discrete potential theory. The lattice functions, take the values only at the lattice points of the N-dimensional Euclidean space R^N (N≧2), defined on the lattice (set of lattice points) X have analogous behavior for continuous functions under certain conditions, still more are closely connected with harmonic- and superharmonic-functions, Green's functions and potentials etc. In this paper we investigate the representation of a solution of the Dirichlet problem and properties of Green's functions.

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