论文标题
适用于伪差异算子的wodzicki残留物在紧凑的谎言组上
The Wodzicki residue for pseudo-differential operators on compact Lie groups
论文作者
论文摘要
令$ g $为任意的紧凑型谎言组。在这项工作中，我们应用了痕迹分析延续的方法，以计算$ g $的经典伪差异操作员在其矩阵价值的符号上（在全球范围内定义在非交换阶段空间$ g \ g \ times $ g \ widehat \ widehat \ widehat {g} $ g $ g $ g wide）的$ g \ $ g with的$ g {我们的主要定理是[2]中的结果互补的，当操作员属于本地坐标系统定义的$ g $上的hörmander类时，我们删除了椭圆性假设。
Let $G$ be an arbitrary compact Lie group. In this work we apply the method of the analytic continuation of traces in order to compute the Wodzicki residue for a classical pseudo-differential operator on $G$ in terms of its matrix-valued symbol (which is globally defined on the non-commutative phase space $G\times \widehat{G},$ with $\widehat{G}$ being the unitary dual of $G$). Our main theorem is complementary to the results in [2], where we remove the ellipticity hypothesis when the operators belong to the Hörmander classes on $G$ defined by local coordinate systems.
