4 papers
Explicit Estimates for the Bergman Kernel Form on Polarized Riemann Surfaces for General Tensor Powers
Johannes Testorf
Let be a positive Hermitian holomorphic line bundle over a compact Riemann surface , and put $ω=\ddbarϕ$. We obtain effective pointwise estimates for the Bergman fo…
Ross-Witt Nyström correspondence and Ohsawa-Takegoshi extension
Yan He, Johannes Testorf, Xu Wang
We obtain a general Ohsawa-Takegoshi extension theorem by using the Ross-Witt Nyström correspondence picture and Berndtsson's theorem in \cite{Bern20}. In the test configuration (…
On the transcendentality condition for Gaussian Gabor frames and Hermite super/multiwindow frames
Franz Luef, Johannes Testorf, Xu Wang
We give a criterion for higher-dimensional Gaussian Gabor frames, which is a reformulation of one of the main results in in a previous article by the first and last authors in more…
A Complex Geometric Approach to the Discrete Gabor Transform and Localization Operators on the Flat Torus
Johannes Testorf
In a recent paper, the discrete Gabor transform was connected to a Gabor transform with a time frequency domain given by the flat torus. We show that the corresponding Bargmann spa…