Resonances in One Dimension and Fredholm Determinants

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Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szegő asymptotics (2005, background): “Proof. This is essentially Proposition 2.9 of [ 41 ].”
Non-self-adjoint operators, infinite determinants, and some applications (2005, background): “reduced to a simple Wronski determinant of C-valued distributional solutions of (6.5). This fact goes back to Jost and Pais [23] (see also [14], [37], [39], [41, Sect. 12.1.2], [52, Proposition 5.7], [53], and the extensive literature 16 F. GESZTESY, Y. LATUSHKIN, M. MITREA, AND M. ZINCHENKO cited i”
On the Inverse Resonance Problem (2003, methodology): “The approach we are taking in this section follows in part the one in Simon’s paper [17].”
Painlevé formulas of the limiting distributions for nonnull complex sample covariance matrices (2005, background): “, of the intersection form on H2(X,Q)) which was given by Joyce [16] in the manifold case and by Hattori and Masuda [14] in general.”