Selfadjoint extensions of a singular differential operator

2011/05/26 by E. Bairamov, Bairamov, E., R. O. Mert +3
Mathematics · #47A10 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:47A10

paper · pdf · doi:10.48550/arxiv.1105.5285

9 pages

arxiv created 2011/05/26 · arxiv updated 2011/05/27

Abstract

In this work, firstly in the Hilbert space of vector-functions L² (H,(-∞,a)\bup(b,+∞)),a<b all selfadjoint extensions of the minimal operator generated by linear singular symmetric differential expression l(⋅)=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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