23 citations · 44 across the 9 of their papers we have counts for
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math.FA2026
Analytic spectral flow formula for unitaries and Levinson's theorem
A. Alexander, A. Carey, G. Levitina +1
We prove an integral formula for the spectral flow of differentiable loops of unitaries of the form Schatten. Our formula is in terms of a regularised winding number, ex…
math.FA2023
On a conjectured property of the Witten index and an application to Levinson's theorem
Alan Carey, Galina Levitina
A few years ago Fritz Gesztesy raised the issue of whether there was a composition rule for the Witten index analogous to that satisfied by Fredholm operators. In this note we prov…
math.FA2021★ 2 cited
The Witten index and the spectral shift function
Alan Carey, Galina Levitina, Denis Potapov +1
In \cite{APSIII} Atiyah, Patodi and Singer introduced spectral flow for elliptic operators on odd dimensional compact manifolds. They argued that it could be computed from the Fred…