12 citations · 12 across the 4 of their papers we have counts for
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math.FA2016
Singular traces and perturbation formulae of higher order
Denis Potapov, Fedor Sukochev, Aleksandr Usachev +1
Let be self-adjoint operators such that belongs to the weak trace class ideal. We prove higher order perturbation formula $$τ\big(f(H+V)-\sum_{j=0}^{n-1}\frac{1}{j!}\fra…
math.FA2014
A Jost-Pais-type reduction of Fredholm determinants and some applications
Alan Carey, Fritz Gesztesy, Denis Potapov +2
We study the analog of semi-separable integral kernels in $\cH$ of the type {equation*} K(x,x')={cases} F_1(x)G_1(x'), & a<x'< x< b, \\ F_2(x)G_2(x'), & a<x<x'<b, {cases} {equation…