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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1992 Volume 183, Number 5, Pages 115–144 (Mi sm1125)

This article is cited in 6 papers

The Lax–Phillips scattering scheme on groups, and a functional model of a Lie algebra

V. A. Zolotarev


Abstract: A functional model is constructed for a Lie algebra $\{A_1,\,A_2\}$ of linear operators determined by the relation $[A_2,A_1]=iA_1$.

UDC: 517.948

MSC: Primary 47A45, 47A20, 47D03; Secondary 17B81, 47B44

Received: 27.12.1990


 English version:
Russian Academy of Sciences. Sbornik. Mathematics, 1993, 76:1, 99–122

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