D. Potapov

activity

20082025

most citedTraces of compact operators and the noncommutative residue

41 citations · 153 across the 25 of their papers we have counts for

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3 papers · 1 filter

math.SP2017★ 9 cited

On the Global Limiting Absorption Principle for Massless Dirac Operators

Alan Carey, Fritz Gesztesy, Jens Kaad +4

We prove a global limiting absorption principle on the entire real line for free, massless Dirac operators $H_{0} = α \cdot (- i \nabla)$ for all space dimensions $n \in N$ , $…

math.SP2015

Double operator integral methods applied to continuity of spectral shift functions

Alan Carey, Fritz Gesztesy, Galina Levitina +3

We derive two main results: First, assume that $A$ , $B$ , $A_{n}$ , $B_{n}$ are self-adjoint operators in the Hilbert space $H$ , and suppose that $A_{n}$ converges to $A$ and $B_…

math.SP2014★ 12 cited

On the Witten index in terms of spectral shift functions

Alan Carey, Fritz Gesztesy, Denis Potapov +2

We study the model operator $D_{A} = (d / d t) + A$ in $L^{2} (R; H)$ associated with the operator path ${A (t)}_{t = - \infty}^{\infty}$ , wher…