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On unconditional basis property on a closed interval of systems of eigen- and adjoint functions of a second order operator with discontinuous coefficients. (Russian) Zbl 0636.34017

The author considers the linear differential operator \[ Lu\equiv p_ 0(x)u''+p_ 1(x)u'+p_ 2(x)u \] under certain boundary conditions. Assuming that the coefficients \(p_ i\) may have discontinuities, he establishes necessary and sufficient conditions under which a (complete in \(L_ 2)\) minimal system of eigen- and adjoint functions of this operator is an unconditional base.
Reviewer: B.Šehter

MSC:

34L99 Ordinary differential operators
42C30 Completeness of sets of functions in nontrigonometric harmonic analysis
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