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math.SP2022★ 1 cited
Asymptotics of singular values for quantum derivatives
Rupert L. Frank, Fedor Sukochev, Dmitriy Zanin
We obtain Weyl type asymptotics for the quantised derivative $\dbar f$ of a function from the homgeneous Sobolev space on The asympt…
math.SP2021
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…
math.SP2020
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…