Selfadjoint extensions of a singular differential operator
Functional Analysis
2011-05-27 v1
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.
Cite
@article{arxiv.1105.5285,
title = {Selfadjoint extensions of a singular differential operator},
author = {E. Bairamov and R. O. Mert and Z. I. Ismailov},
journal= {arXiv preprint arXiv:1105.5285},
year = {2011}
}
Comments
9 pages