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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2020 Volume 492, Pages 49–53 (Mi danma71)

This article is cited in 5 papers

MATHEMATICS

Regular boundary value problems for the Dirac operator

A. S. Makin

MIREA — Russian Technological University, oscow, Russian Federation

Abstract: Spectral problems for the Dirac operator specified on a finite interval with regular, but not strongly regular boundary conditions and a complex-valued integrable potential are studied. This work is aimed at finding the conditions under which the root function system forms a common Riesz basis rather than a Riesz basis with parentheses.

Keywords: Dirac operator, spectral expansion, regular boundary conditions.

UDC: 517.984.52

Presented: E. I. Moiseev
Received: 14.01.2020
Revised: 31.03.2020
Accepted: 31.03.2020

DOI: 10.31857/S2686954320030145


 English version:
Doklady Mathematics, 2020, 101:3, 214–217

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