131 citations · 330 across the 50 of their papers we have counts for
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math.FA2016
On the extension of Fredholm determinants to the mixed multidimensional integral operators with regulated kernels
Anton A. Kutsenko
We extend the classical trace (and determinant) known for the integral operators with matrix-val…
math-ph2016★ 3 cited
Recovery of defects from the information at detectors
Anton A. Kutsenko
The discrete wave equation in a multidimensional uniform space with local defects and sources is considered. The characterization of all possible defect configurations correspondin…
math.SP2016★ 10 cited
Algebra of 2D periodic operators with local and perpendicular defects
Anton A. Kutsenko
We show that 2D periodic operators with local and perpendicular defects form an algebra. We provide an algorithm of finding spectrum for such operators. While the continuous spectr…