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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1970 Volume 81(123), Number 2, Pages 209–227 (Mi sm3371)

This article is cited in 8 papers

Generalized wave operators

L. A. Sakhnovich


Abstract: In this paper we generalize the concepts of wave operators and scattering operators. We find sufficient conditions for the existence of generalized wave operators for the Friedrichs model with discontinuous kernel, and for differential operators with potential of Coulomb type.
Bibliography: 16 titles.

UDC: 517.433+513.881

MSC: 47B32, 47A40, 47E05, 47B25, 46E20, 33C10

Received: 14.04.1969


 English version:
Mathematics of the USSR-Sbornik, 1970, 10:2, 197–216

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