黎曼球面上不可约正则微分系统的傅里叶-拉普拉斯变换
Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere
摘要:
证明了当只考虑有限距离处的部分时,黎曼球面上不可约正则微分系统的傅里叶-拉普拉斯变换是可极化正则扭量$\mathcal{D}$ -模的基础.因此,在原点外的相关全纯丛配备了一个自然调和度量,在原点附近具有驯服的行为。
英文摘要:
We show that the Fourier-Laplace transform of an irreducible regular differential system on the Riemann sphere underlies, when one only considers the part at finite distance, a polarizable regular twistor $\mathcal{D}$-module. The associated holomorphic bundle out of the origin is therefore equipped with a natural harmonic metric with a tame behaviour near the origin.
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