Geodesic
Fredholm formulae for kernels which are linear with respect to parameter
Dalʹnevostočnyj matematičeskij žurnal, Tome 3 (2002) no. 2, pp. 173-194.

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In this paper, we construct formulae, which are similar to the classical determinant formulae of Fredholm, for solving second-kind integral equations in $L_2(\mathbb R)$ with continuous on $\mathbb R^2$ Carleman kernels of the form $H(s,t)+\mu G(s,t)$, where $\mu$ is a complex parameter 
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I. M. Novitskii. Fredholm formulae for kernels which are linear with respect to parameter. Dalʹnevostočnyj matematičeskij žurnal, Tome 3 (2002) no. 2, pp. 173-194. http://geodesic.mathdoc.fr/item/DVMG_2002_3_2_a3/

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