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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Hypercyclicity in the scattering theory for linear transport equation
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by H. Emamirad PDF
Trans. Amer. Math. Soc. 350 (1998), 3707-3716 Request permission

Abstract:

We show how the hypercyclicity of the transport semigroup can intervene in the scattering theory to characterize the density property of the Lax and Phillips representation theorem and conversely, how the existence of the wave operators of the scattering theory can be used for recovering the hypercyclicity of the absorbing transport group in some weighted $L^{1}$ spaces.
References
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Additional Information
  • H. Emamirad
  • Affiliation: Laboratoire de Modélisation Méchanique et de Mathématiques Appliquées, SP2MI. Université de Poitiers, Boulevard 3, Teleport 2, BP 179. 86 960 FUTUROSCOPE Cedex, France
  • Email: emamirad@13ma.univ-poitiers.fr
  • Received by editor(s): October 29, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 3707-3716
  • MSC (1991): Primary 47D05; Secondary 82A70
  • DOI: https://doi.org/10.1090/S0002-9947-98-02062-5
  • MathSciNet review: 1451598