Select Publications
Preprints
2021, The Witten index and the spectral shift function, http://dx.doi.org/10.48550/arxiv.2101.06812
,2019, On a trace formula for functions of noncommuting operators, http://dx.doi.org/10.48550/arxiv.1901.09495
,2017, On the Global Limiting Absorption Principle for Massless Dirac Operators, http://dx.doi.org/10.48550/arxiv.1711.01029
,2016, Singular traces and perturbation formulae of higher order, http://dx.doi.org/10.48550/arxiv.1612.04511
,2016, Trace Formulas for a Class of non-Fredholm Operators: A Review, http://dx.doi.org/10.48550/arxiv.1610.04954
,2015, Double operator integral methods applied to continuity of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1511.07998
,2015, On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example, http://dx.doi.org/10.48550/arxiv.1509.01356
,2015, Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case, http://dx.doi.org/10.48550/arxiv.1509.00616
,2015, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, http://dx.doi.org/10.48550/arxiv.1506.00778
,2015, Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae, http://dx.doi.org/10.48550/arxiv.1504.03843
,2014, A Jost-Pais-type reduction of Fredholm determinants and some applications, http://dx.doi.org/10.48550/arxiv.1404.0739
,2014, On the Witten index in terms of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1404.0740
,2013, Weak type estimates for the absolute value mapping, http://dx.doi.org/10.48550/arxiv.1309.3378
,2012, Higher order spectral shift for contractions, http://dx.doi.org/10.48550/arxiv.1210.8227
,2012, Traces of compact operators and the noncommutative residue, http://dx.doi.org/10.48550/arxiv.1210.3423
,2012, The best constants for operator Lipschitz functions on Schatten classes, http://dx.doi.org/10.48550/arxiv.1209.3948
,2011, The Walsh basis in the Lp-spaces of hyperfinite III_\lambda-factors, 0 < \lambda <= 1, http://dx.doi.org/10.48550/arxiv.1111.2403
,2010, Functions of normal operators under perturbations, http://dx.doi.org/10.48550/arxiv.1008.1638
,2010, Functions of perturbed normal operators, http://dx.doi.org/10.48550/arxiv.1003.5286
,2009, Spectral shift function of higher order, http://dx.doi.org/10.48550/arxiv.0912.3056
,2008, Non- (quantum) differentiable $C^1$-functions in the spaces with trivial Boyd indices, http://dx.doi.org/10.48550/arxiv.0808.2856
,2008, The Haar system in the preduals of hyperfinite factors, http://dx.doi.org/10.48550/arxiv.0808.2851
,2008, Unbounded Fredholm modules and double operator integrals, http://dx.doi.org/10.48550/arxiv.0808.2854
,2008, Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators, http://dx.doi.org/10.48550/arxiv.0807.2129
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