06-138 Thierry Jecko, Sylvain Golenia

A new look at Mourre's commutator theory (488K, Postscript) Apr 28, 06

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Abstract. Mourre's commutator theory is a powerful tool to study the continuous spectrum of self-adjoint operators and to develop scattering theory. We propose a new approach of its main result, namely the derivation of the limiting absorption principle from a so called Mourre estimate. We provide a new interpretation of this result.

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