We consider fourth order ordinary differential operators on the half-line and on the line, where the perturbation has compactly supported coefficients. The Fredholm determinant for this operator is an analytic function in the whole complex plane without zero. We describe the determinant at zero. We show that in the generic case it has a pole of order 4 in the case of the line and of order 1 in the case of the half-line.

Original languageEnglish
JournalMathematische Nachrichten
Early online date19 Nov 2019
Publication statusE-pub ahead of print - 19 Nov 2019

Scopus subject areas

  • Mathematics(all)

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