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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

M. Thompson
M. Thompson
Affiliation:
Departmento de Matemática Pura e Applicada, Universidade Federal do Rio Grande do Sul, Rua Sarmento Leite 425-3°. andar, 90.000 Porto Alegre, RS, Brasil
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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

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