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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm166https://doi.org/10.1070/SM1996v187n10ABEH000166 https://www.mathnet.ru/eng/sm/v187/i10/p87
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Abstract page: | 341 | Russian version PDF: | 195 | English version PDF: | 18 | References: | 62 | First page: | 1 |
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