arXiv · 1105.5285
Selfadjoint extensions of a singular differential operator
Abstract
In this work, firstly in the Hilbert space of vector-functions L^2 (H,(-\infty,a)\bup(b,+\infty)),a<b all selfadjoint extensions of the minimal operator generated by linear singular symmetric differential expression l(\cdot)=i d/dt+A with a selfadjoint operator coefficient A in any Hilbert space H, are described in terms of boundary values. Later structure of the spectrum of these extensions is investigated.
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E. Bairamov, R. O. Mert, Z. I. Ismailov. 2011-05-26. Selfadjoint extensions of a singular differential operator. https://arxiv.org/abs/1105.5285
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