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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2009 Volume 86, Issue 5, Pages 673–680 (Mi mzm4584)

This article is cited in 7 papers

Linear Difference and Differential Operators with Unbounded Operator Coefficients in Weight Spaces

M. S. Bichegkuev

North-Ossetia State University

Abstract: We describe the spectrum of linear difference and differential operators with unbounded operator coefficients in weight spaces.

Keywords: linear difference operator, linear differential operator, weight space, complex Banach space, evolution operator, spectrum of an operator, Beurling–Gelfand formula.

UDC: 517.9

Received: 07.03.2008

DOI: 10.4213/mzm4584


 English version:
Mathematical Notes, 2009, 86:5, 637–644

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