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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 2, Pages 16–21 (Mi ivm7229)

This article is cited in 6 papers

Spectral properties of difference and differential operators in weighted spaces

M. S. Bichegkuev, S. V. Besaeva

Chair of Functional Analysis and Differential Equations, North-Osetian State University, Vladikavkaz, Russia

Abstract: We describe the spectrum of a difference operator (a weighted shift operator). We obtain applications to finding spectra of differential operators in weighted function spaces.

Keywords: difference operator, differential operator, operator spectrum, weighted spaces of sequences and functions.

UDC: 517.983

Received: 26.06.2009


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:2, 13–17

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