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math.DG2014
Asymptotic expansion of the Bergman kernel via perturbation of the Bargmann-Fock model
Hamid Hezari, Casey Lynn Kelleher, Shoo Seto +1
We give an alternate proof of the existence of the asymptotic expansion of the Bergman kernel associated to the -th tensor powers of a positive line bundle in a $\frac{1}{\s…
math.AP2014★ 14 cited
norms, nodal sets, and quantum ergodicity
Hamid Hezari, Gabriel Riviere
For small range of , we improve the bounds of eigenfunctions of the Laplacian on negatively curved manifolds. Our improvement is by a power of logarithm for a full densi…