137 citations · 594 across the 24 of their papers we have counts for
Showing 2013 · math.DGShow all
3 papers · 2 filters
math.DG2013★ 62 cited
Exponential Estimate for the asymptotics of Bergman kernels
Xiaonan Ma, George Marinescu
We prove an exponential estimate for the asymptotics of Bergman kernels of a positive line bundle under hypotheses of bounded geometry. We give further Bergman kernel proofs of com…
math.DG2013★ 13 cited
Semi-classical properties of Berezin--Toeplitz operators with $\cC^k$--\,symbol
Tatyana Barron, Xiaonan Ma, George Marinescu +1
We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with $\cC^k$--\,symbol on a symplectic manifold. We also give a semi-classical estimate of th…
math.DG2013★ 12 cited
Remark on the off-diagonal expansion of the Bergman kernel on compact Kähler manifolds
Xiaonan Ma, George Marinescu
In this short note, we compare our previous works on the off-diagonal expansion of the Bergman kernel and the recent preprint of Lu-Shiffman (arxiv.1301.2166). In particular, we no…