256 citations · 944 across the 58 of their papers we have counts for
7 papers · 1 filter
The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators
Alan Carey, Fritz Gesztesy, Galina Levitina +3
We derive a limiting absorption principle on any compact interval in for the free massless Dirac operator, in $[L^2(\mathbb…
The product formula for regularized Fredholm determinants
Thomas Britz, Alan Carey, Fritz Gesztesy +3
For trace class operators ( a complex, separable Hilbert space), the product formula for Fredholm determinants holds in the famil…
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 for all space dimensions , $…
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 , , , are self-adjoint operators in the Hilbert space , and suppose that converges to and $B_…
On the Index of a Non-Fredholm Model Operator
Alan Carey, Fritz Gesztesy, Galina Levitina +1
Let be a path of self-adjoint Fredholm operators in a Hilbert space , joining endpoints as . Computing the inde…
The Spectral shift function and the Witten index
Alan Carey, Fritz Gesztesy, Galina Levitina +1
We survey the notion of the spectral shift function of a pair of self-adjoint operators and recent progress on its connection with the Witten index. We also describe a proof of Kre…
On the Witten index in terms of spectral shift functions
Alan Carey, Fritz Gesztesy, Denis Potapov +2
We study the model operator in associated with the operator path , wher…