On an analog of the Riesz theorem and the basis property of the system of root functions of a differential operator in L p : II

Author: Kurbanov V.  

Publisher: MAIK Nauka/Interperiodica

ISSN: 0012-2661

Source: Differential Equations, Vol.49, Iss.4, 2013-04, pp. : 437-449

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Abstract

We consider an ordinary differential operator of arbitrary order, obtain necessary conditions for the Riesz property of systems of normalized root functions, prove an analog of the Riesz theorem, and use it to obtain sufficient conditions for the basis property of the system of root functions of the given operator in L p .