Abstract
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.
Citation
Keiko FUJITA. Mitsuo MORIMOTO. "Integral representation for eigenfunctions of the Laplacian." J. Math. Soc. Japan 51 (3) 699 - 713, July, 1999. https://doi.org/10.2969/jmsj/05130699
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