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JOURNALS // Trudy Moskovskogo Matematicheskogo Obshchestva // Archive

Tr. Mosk. Mat. Obs., 2019 Volume 80, Issue 2, Pages 275–294 (Mi mmo631)

This article is cited in 2 papers

On the existence of an operator group generated by the one-dimensional Dirac system

A. M. Savchuk, I. V. Sadovnichaya

Lomonosov Moscow State University

Abstract: We study the one-dimensional Dirac operator with a complex-valued summable potential. The possibility of constructing an operator group generated by this operator is investigated in various spaces. Estimates are established for the growth of the group constructed.

Key words and phrases: Dirac operator, operator semigroups.

UDC: 517.984

MSC: 34L40, 47D06

Received: 29.07.2019


 English version:
Transactions of the Moscow Mathematical Society, 2019, 80, 235–250

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