Abstract.
We show that the section determinant of eA can be expressed, under certain conditions, by the Fredholm determinant of an integral operator. The kernel function of this integral operator is computed explicitly in terms of the operator A. As a simple consequence we derive a Weierstrass type product expansion for the section determinant.
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Otte, P. A Fredholm Determinant Formula for Section Determinants of Bounded Operators. Integr. equ. oper. theory 49, 499–509 (2004). https://doi.org/10.1007/s00020-002-1218-4
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DOI: https://doi.org/10.1007/s00020-002-1218-4