About one inverse problem for a Hill's equation with double eigenvalues

2020/01/06 by B. N. Biyarov, Biyarov, B. N.
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Primary 34A55 #Secondary 58C40 #Spectral Theory (math.SP) #math.FA #math.SP #msc:34A55 #msc:58C40

paper · pdf · doi:10.48550/arxiv.2001.01650

7 pages

arxiv created 2020/03/05 · arxiv updated 2020/03/06

Abstract

In this paper, we establish necessary and sufficient conditions for the doubleness all of the eigenvalues, except the lowest, periodic and anti-periodic problems for Hill's equation in terms of the complex-valued potential q(x).

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