论文标题
Lagrangian分布的主要符号图
The Principal Symbol Map for Lagrangian Distributions with Complex Phase
论文作者
论文摘要
具有复杂相位函数的傅立叶积分运算符是分析部分微分方程的重要工具。本文的重点是具有复杂阶段的拉格朗日分布的主要符号。我们为此类分布提供了主要符号图的替代构造,这使我们能够在具有复杂阶段的傅立叶积分运算符清洁组成后计算主要符号。
Fourier integral operators with complex phase function are an important tool in the analysis of partial differential equations. The present paper focus on the principal symbol of Lagrangian distributions with complex phase. We provide an alternative construction of the principal symbol map for such distributions, which allows us to compute the principal symbol after clean composition of Fourier integral operators with complex phase.