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On a non-local problem for irregular equations

Василий Васильевич КорниенкоA. Navoi Samarkand State University, Samarkand, Uzbekistan
Sbornik Mathematicsjournal2000en
ABI

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We study the distribution on the complex plane of the spectrum of the operator generated by the closure in of an irregular operation originally defined on the smooth functions that satisfy the non-local conditions: . Here ; , ; ; is the characteristic function of the interval with end-points ; ; ; is a model operator acting in a Hilbert space ; , .

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