162 citations · 394 across the 33 of their papers we have counts for
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math.CV2005★ 2 cited
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles
Robert Berman, Johannes Sjoestrand
In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also exp…
math.SP2005★ 5 cited
Fractal upper bounds on the density of semiclassical resonances
J. Sjoestrand, M. Zworski
For semiclassical problems we establish upper bounds on the number of resonances in boxes of size along the real axis, in terms of the dimension of the set of trapped trajector…
math.CV2005★ 15 cited
Asymptotics of Bergman kernels
Robert Berman, Bo Berndtsson, Johannes Sjoestrand
We give an elementary proof of the existence of an asymptotic expansion in powers of of the Bergman kernel associated to , where is a positive line bundle. We also giv…