Integral representation for eigenfunctions of the Laplacian

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概要

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• 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.

• 社団法人 日本数学会の論文

著者

• Morimoto Mitsuo

  Department of Anesthesiology, Kinki University School of Medicine

• Fujita Keiko

  Faculty Of Bioresources Mie University

• Fujita Keiko

  Faculty Of Culture And Education Saga University

• Morimoto Mitsuo

  Department Of Mathematics Sophia University

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• Integral representation for eigenfunctions of the Laplacian

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