Formula for the highly regularized trace of the Sturm-Liouville operator with unbounded operator coefficients having singularity (Q2730865)

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scientific article; zbMATH DE number 1625075
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Formula for the highly regularized trace of the Sturm-Liouville operator with unbounded operator coefficients having singularity
scientific article; zbMATH DE number 1625075

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    25 September 2002
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    regularized trace
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    Sturm-Liouville operator with unbounded operator coefficients
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    Formula for the highly regularized trace of the Sturm-Liouville operator with unbounded operator coefficients having singularity (English)
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    The authors present an explicit expression for the \(n\)th regularized trace of the Sturm-Liouville operator with unbounded operator coefficients having singularity but with some plausible conditions, e.g., having weak derivatives, selfadjoint property, boundedness, measurability,\dots. The paper seems to be a continuation of the investigations on the regularized trace problem of differential operators with unbounded operator coefficients by \textit{F. G. Maksudov}, \textit{M. Bajramogly} and \textit{A. A. Adygezalov} [Soviet Math. Dokl. 30, 169-173 (1984; Zbl 0599.34076), \textit{A. Hesimov}, Akad. Nauk Azerb. SSR, Baku (1989), vi. 7340--V89, \textit{Adigüzelov} and \textit{Baksi} -- Thesis (1999) and \textit{V. V. Dubrovskij}, Navuk Belarusi (1996)].
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