论文标题
分区中指数空间的歼灭操作员
Annihilation Operators for Exponential Spaces in Subdivision
论文作者
论文摘要
我们研究了两个变量中指数函数的某些有限维子空间的差异和差异操作员的性能，这些变量连接到了实值三角和双曲线函数的表示。尽管指数函数出现在各种情况下，但这项工作背后的动机来自考虑细分方案，其能力保留了以三角学和双曲线功能为参数的表面所需的指数函数所需的指数函数。
We investigate properties of differential and difference operators annihilating certain finite-dimensional subspaces of exponential functions in two variables that are connected to the representation of real-valued trigonometric and hyperbolic functions. Although exponential functions appear in a variety of contexts, the motivation behind this work comes from considering subdivision schemes with the capability of preserving those exponential functions required for an exact description of surfaces parametrized in terms of trigonometric and hyperbolic functions.
