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Eigenfunctions of the Laplacian of the Exonential Type with Respect to
the Lie Norm and the Dual Lie Norm
Keiko Fujita Abstract We consider entire functions of exponential type with respect to the Lie norm and the dual Lie norm. We characterize them by the growth condition of harmonic components in their double series expansion. Special attention will be paid to the eigenfunctions of the Laplacian. |