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The principle of limiting absorption for Laplacians on two-point homogeneous spaces
Published online by Cambridge University Press: 14 November 2011
Synopsis
The present note is concerned to develop the principle of limiting absorption for the Laplacian Δ on a two-point homogeneous noncompact space M = G/H subject to a real-valued potential perturbation V. Such a property depends on the detailed structure of the Laplacian in a suitable coordinate system while V is assumed to satisfy a short-range condition.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 87 , Issue 3-4 , 1981 , pp. 319 - 329
- Copyright
- Copyright © Royal Society of Edinburgh 1981