论文标题
全体形态功能的四二次加权空间之间的嵌入规范
Norms of embeddings between quadratically weighted spaces of holomorphic functions
论文作者
论文摘要
我们考虑了全态函数的空间，这些空间是与高斯重量相对于高斯体重的正方形集成的，这在元容器的FBI-Bargmann转换理论中。我们通过将这些嵌入与傅立叶积分运算符与复杂阶段相关联，将这些嵌入在两个此类空间之间的操作员规范。
We consider spaces of holomorphic functions which are square-integrable against a Gaussian weight, which appear in the theory of metaplectic FBI--Bargmann transforms. We identify the operator norm of embeddings between two such spaces, by relating these embeddings to Fourier integral operators with complex phase.
