7 citations · 38 across the 29 of their papers we have counts for
29 papers
A hierarchy on non-archimedean Polish groups admitting a compatible complete left-invariant metric
Longyun Ding, Xu Wang
In this article, we introduce a hierarchy on the class of non-archimedean Polish groups that admit a compatible complete left-invariant metric. We denote this hierarchy by -CLI…
A Hilbert bundle approach to the sharp strong openness theorem and the Ohsawa-Takegoshi extension theorem
Tai Terje Huu Nguyen, Xu Wang
The following paper is around parts of the first named author's thesis. We discuss (what we call) a Hilbert bundle approach to complex Brunn-Minkowski theory and obtain a general m…
Gaussian Gabor frames, Seshadri constants and generalized Buser--Sarnak invariants
Franz Luef, Xu Wang
We investigate the frame set of regular multivariate Gaussian Gabor frames using methods from Kähler geometry such as Hörmander's $\dbar$- estimate with singular weight, Demai…
On a remark by Ohsawa related to the Berndtsson-Lempert method for -holomorphic extension
Tai Terje Huu Nguyen, Xu Wang
We utilize the Legendre-Fenchel transform and weak geodesics for plurisubharmonic functions to construct a weight function that can be used in the Berndtsson-Lempert method, to giv…
An explicit estimate of the Bergman kernel for positive line bundles
Xu Wang
We shall give an explicit estimate of the lower bound of the Bergman kernel associated to a positive line bundle. In the compact Riemann surface case, our result can be seen as an…
Cohomologies of complex manifolds with symplectic -forms
Adriano Tomassini, Xu Wang
Let be a complex manifold with a non-degenerated smooth -closed -form . Then we have a natural double complex , whe…