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On the unconditional basis property of systems of eigenfunctions and associated functions of a second order operator with discontinuous coefficients. (English. Russian original) Zbl 0632.34018

Sov. Math., Dokl. 34, 141-144 (1987); translation from Dokl. Akad. Nauk SSSR 289, 777-780 (1986).
The author studies the unconditional basis property on a closed interval of systems of eigenfunctions and associated functions of the linear nonselfadjoint second order differential operator \(Lu=p_ 0(x)u''+p_ 1(x)u'+p_ 2(x)u,\) whose coefficients, \(p_ 0(x)\) included, have a discontinuity at some point of the basic interval.
Reviewer: B.D.Sleeman

MSC:

34L99 Ordinary differential operators
47E05 General theory of ordinary differential operators
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
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