Affine Weyl Groups and the Boundary Value Eigenvalue Problems of the Laplacian

Yoshinori HOSHIKAWA; Hajime URAKAWA

doi:10.4036/iis.2010.93

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

Regular Papers

Affine Weyl Groups and the Boundary Value Eigenvalue Problems of the Laplacian

Yoshinori HOSHIKAWA, Hajime URAKAWA

著者情報

キーワード: affine Weyl group, Dirichlet eigenvalue problem, Neumann eigenvalue problem, eigenvalue, eigenfunction

ジャーナルフリー

2010 年 16 巻 1 号 p. 93-109

DOI https://doi.org/10.4036/iis.2010.93

詳細

抄録

In this paper, we give the explicit formulas for the eigenvalues, and the eigenfunctions, of the Dirichlet and also the Neumann eigenvalue problems of the Laplacian on the crystallographic Euclidean domains. We show the Poisson summation formulas of the Dirichlet and Neumann heat kernels.

著者関連情報

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/

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