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Propagation properties in scattering theory

Published online by Cambridge University Press:  17 February 2009

Derek W. Robinson
Derek W. Robinson
Affiliation:
School of Mathematics, University of New South Wales, KensingtonNSW 2033
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Abstract

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Generalizations of the Green-Lanford-Dollard theorem on scattering into cones and Ruelle-Amerin-Georgescu theorem characterizing bound states and scattering states are derived. The first is shown to be an easy consequence of the Kato-Trotter theorem on semi-group convergence whilst the latter is corollary of Wiener's version of the mean ergodic theorem.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 4 , April 1980 , pp. 474 - 485
Copyright
Copyright © Australian Mathematical Society 1980

References

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