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Abstract Lax-Phillips scattering scheme for second-order operator-differential equations

We construct an analog of the Lax-Phillips scattering scheme for an abstract operator-differential equation u u=-Lu under certain restrictions imposed on the operator L. In particular, we construct the incoming and outcoming subspaces and describe singularities of the scattering matrix in terms of t...

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Bibliographic Details
Date:	1996
Main Authors:	Kuzhel', S. A., Кужіль, С. О.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1996
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5310
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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