5 citations · 15 across the 13 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
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.DG2018★ 1 cited
Geometric quantization of symplectic maps and Witten's asymptotic conjecture
Louis Ioos
We use the theory of Berezin-Toeplitz operators of Ma and Marinescu to study the spaces of holomorphic sections of a prequantizing line bundle over compact Kähler manifolds under d…
math.DG2018
Quantization and isotropic submanifolds
Louis Ioos
We introduce the notion of an isotropic quantum state associated with a Bohr-Sommerfeld manifold in the context of Berezin-Toeplitz quantization of general prequantized symplectic…