Otte, Peter An integral formula for section determinants of semi-groups of linear operators. (English) Zbl 0995.47022 J. Phys. A, Math. Gen. 32, No. 20, 3793-3803 (1999). Summary: We derive an integral formula that expresses the section determinants of semigroups of linear operators through the solution to a linear integral equation. The solution theory of this integral equation is developedand for a special case a concrete solvability criterion is presented. Cited in 2 Documents MSC: 47D06 One-parameter semigroups and linear evolution equations 47G10 Integral operators 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) 47N20 Applications of operator theory to differential and integral equations Keywords:integral formula; section determinants; semigroups of linear operators; linear integral equation; concrete solvability criterion PDFBibTeX XMLCite \textit{P. Otte}, J. Phys. A, Math. Gen. 32, No. 20, 3793--3803 (1999; Zbl 0995.47022) Full Text: DOI