Select Publications

Preprints

Carey A; Levitina G; Potapov D; Sukochev F, 2021, The Witten index and the spectral shift function, http://dx.doi.org/10.48550/arxiv.2101.06812

Aleksandrov AB; Peller VV; Potapov DS, 2019, On a trace formula for functions of noncommuting operators, http://dx.doi.org/10.48550/arxiv.1901.09495

Carey A; Gesztesy F; Kaad J; Levitina G; Nichols R; Potapov D; Sukochev F, 2017, On the Global Limiting Absorption Principle for Massless Dirac Operators, http://dx.doi.org/10.48550/arxiv.1711.01029

Potapov D; Sukochev F; Usachev A; Zanin D, 2016, Singular traces and perturbation formulae of higher order, http://dx.doi.org/10.48550/arxiv.1612.04511

Carey A; Gesztesy F; Grosse H; Levitina G; Potapov D; Sukochev F; Zanin D, 2016, Trace Formulas for a Class of non-Fredholm Operators: A Review, http://dx.doi.org/10.48550/arxiv.1610.04954

Carey A; Gesztesy F; Levitina G; Nichols R; Potapov D; Sukochev F, 2015, Double operator integral methods applied to continuity of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1511.07998

Carey A; Gesztesy F; Levitina G; Potapov D; Sukochev F; Zanin D, 2015, On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example, http://dx.doi.org/10.48550/arxiv.1509.01356

Coine C; Merdy CL; Potapov D; Sukochev F; Tomskova A, 2015, Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case, http://dx.doi.org/10.48550/arxiv.1509.00616

Caspers M; Potapov D; Sukochev F; Zanin D, 2015, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, http://dx.doi.org/10.48550/arxiv.1506.00778

Coine C; Merdy CL; Potapov D; Sukochev F; Tomskova A, 2015, Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae, http://dx.doi.org/10.48550/arxiv.1504.03843

Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, A Jost-Pais-type reduction of Fredholm determinants and some applications, http://dx.doi.org/10.48550/arxiv.1404.0739

Carey A; Gesztesy F; Potapov D; Sukochev F; Tomilov Y, 2014, On the Witten index in terms of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1404.0740

Caspers M; Potapov D; Sukochev F; Zanin D, 2013, Weak type estimates for the absolute value mapping, http://dx.doi.org/10.48550/arxiv.1309.3378

Potapov D; Skripka A; Sukochev F, 2012, Higher order spectral shift for contractions, http://dx.doi.org/10.48550/arxiv.1210.8227

Kalton N; Lord S; Potapov D; Sukochev F, 2012, Traces of compact operators and the noncommutative residue, http://dx.doi.org/10.48550/arxiv.1210.3423

Caspers M; Montgomery-Smith S; Potapov D; Sukochev F, 2012, The best constants for operator Lipschitz functions on Schatten classes, http://dx.doi.org/10.48550/arxiv.1209.3948

Caspers M; Potapov D; Sukochev F, 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

Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, Functions of normal operators under perturbations, http://dx.doi.org/10.48550/arxiv.1008.1638

Aleksandrov A; Peller V; Potapov D; Sukochev F, 2010, Functions of perturbed normal operators, http://dx.doi.org/10.48550/arxiv.1003.5286

Potapov D; Skripka A; Sukochev F, 2009, Spectral shift function of higher order, http://dx.doi.org/10.48550/arxiv.0912.3056

Potapov D; Sukochev F, 2008, Non- (quantum) differentiable $C^1$-functions in the spaces with trivial Boyd indices, http://dx.doi.org/10.48550/arxiv.0808.2856

Potapov D; Sukochev F, 2008, The Haar system in the preduals of hyperfinite factors, http://dx.doi.org/10.48550/arxiv.0808.2851

Potapov D; Sukochev F, 2008, Unbounded Fredholm modules and double operator integrals, http://dx.doi.org/10.48550/arxiv.0808.2854

Carey A; Potapov D; Sukochev F, 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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