正规交叉奇异的复幂Laurent系数的零化子
Annihilators of Laurent coefficients of the complex power for normal crossing singularity
摘要:
设$f$是定义在$\mathbb{R}^n$的开集上的实值解析函数。然后将复幂$f_+^λ$定义为具有全纯参数$λ$的分布。在$f=0$具有正规交叉奇异性的情况下,我们确定了$f_+^λ$关于$λ=-1$的罗朗展开式的主部的每个系数的零化子(在微分算子环中).
英文摘要:
Let $f$ be a real-valued real analytic function defined on an open set of $\mathbb{R}^n$. Then the complex power $f_+^λ$ is defined as a distribution with a holomorphic parameter $λ$. We determine the annihilator (in the ring of differential operators) of each coefficient of the principal part of the Laurent expansion of $f_+^λ$ about $λ=-1$ in case $f=0$ has a normal crossing singularity.
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