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Sbornik: Mathematics, 1996, Volume 187, Issue 10, Pages 1503–1523
DOI: https://doi.org/10.1070/SM1996v187n10ABEH000166 (Mi sm166) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Abstract scattering scheme of Lax and Phillips in Pontryagin spaces

S. A. Kuzhel

Institute of Mathematics, Ukrainian National Academy of Sciences
English version PDF (843 kB) Citations (2)
References:
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DOI: https://doi.org/10.1070/SM1996v187n10ABEH000166
Abstract: The abstract scattering scheme of Lax and Phillips is generalized to the case of Pontryagin spaces. The structures of incoming and outgoing subspaces are studied. The connections between the behaviour of the scattering matrix and the properties of a certain $\pi$-contraction operator (the cogenerator of the associated semigroup) and its characteristic function are established.
Received: 25.03.1994
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 10, Pages 87–108
DOI: https://doi.org/10.4213/sm166
Bibliographic databases:
UDC: 517.432
MSC: Primary 47A40; Secondary 46C20
Language: English
Original paper language: Russian
Citation: S. A. Kuzhel, “Abstract scattering scheme of Lax and Phillips in Pontryagin spaces”, Mat. Sb., 187:10 (1996), 87–108; Sb. Math., 187:10 (1996), 1503–1523
Citation in format AMSBIB
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\paper Abstract scattering scheme of Lax and Phillips in Pontryagin spaces
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\yr 1996
\vol 187
\issue 10
\pages 87--108
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:195
    English version PDF:18
    References:62
    First page:1
     
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