1 citations · 1 across the 2 of their papers we have counts for
3 papers
math-ph2021
The Spectrum of the Berezin transform for Gelfand pairs
Dor Shmoish
We discuss the Berezin transform, a Markov operator associated to positive-operator valued measures (POVMs). We consider the class of so-called orbit POVMs, constructed on the quot…
math-ph2018
Spectral aspects of the Berezin transform
Louis Ioos, Victoria Kaminker, Leonid Polterovich +1
We discuss the Berezin transform, a Markov operator associated to positive operator valued measures (POVMs), in a number of contexts including the Berezin-Toeplitz quantization, Do…
math-ph2017★ 1 cited
A spectral gap for POVMs
Victoria Kaminker, Leonid Polterovich, Dor Shmoish
For a class of positive operator valued measures, we introduce the spectral gap, an invariant which shows up in a number of contexts: the quantum noise operator responsible for the…