Laplace Transform of Temperate Holomorphic Functions

Let V be n-dimensional complex vector space. The aim of this paper is to give an elementary proof of the isomorphism O ^t _V ^{^}[n] O ^t _V*, which quantizes the Fourier–Sato transform of the conic sheaf O ^t _V of temperate holomorphic functions     

The Module Df s for Locally Quasi-homogeneous Free Divisors

We find explicit free resolutions for the D-modules Df ^s and D[s] f ^s / D[s] f ^s+1, where f is a reduced equation of a locally quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous free divisor is Koszul free, which is also proved in this paper.     

强极大TAF代数的交不可约D-模

本文研究了强极大TAF代数的交不可约D-模的有关性质.利用矩阵单元链的方法,证明了全上三角矩阵代数中任一D-模等于包含它的所有交不可约D-模的交,建立了强极大TAF代数的交不可约D-模与矩阵单元链之间的对应关系,推广了强极大TAF代数中关于理想的若干性质.     

Asymptotic behaviour of a sequence of neumann problems

We study the limit behaviour of a sequence of Nuemann problems on fractured and perforated domains, allowing for largely arbitrary fracture—perforation patterns.