Integral representation for eigenfunctions of the Laplacian

Keiko FUJITA; Mitsuo MORIMOTO

doi:10.2969/jmsj/05130699

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Integral representation for eigenfunctions of the Laplacian

Keiko FUJITA, Mitsuo MORIMOTO

著者情報

キーワード: Integral representation, eigenfunctions of the Laplacian, Fourier-Borel transformation, analytic functionals

ジャーナルフリー

1999 年 51 巻 3 号 p. 699-713

DOI https://doi.org/10.2969/jmsj/05130699

詳細

抄録

We study entire functions of exponential type which are eigenfunctions of the Laplacian. We represent them by an integral on the complex light cone. The integral formula is closely related to the Fourier-Borel transformation for analytic functionals on the complex sphere.