Poisson transform for the Heisenberg group and eigenfunctions of the sublaplacian

Thangavelu, S. (2006) Poisson transform for the Heisenberg group and eigenfunctions of the sublaplacian Mathematische Annalen, 335 (4). pp. 879-899. ISSN 0025-5831

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Official URL: http://www.springerlink.com/content/r480874538607j...

Related URL: http://dx.doi.org/10.1007/s00208-006-0769-0

Abstract

We define an analogue of Poisson transform on the Heisenberg group and use it to characterise joint eigenfunctions of the sublaplacian ℒ and T=i∂t in terms of certain analytic functionals.

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