On the Holonomic System of f s and ^-Function
On the Holonomic System of f s and ^-Function
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关于 f s 和 ^-函数的完整系统
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Tamaki Yano
中科院分区：
文献类型：
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作者：
Tamaki Yano;M. Sato;Tamaki Yano
M.Sato在1961年提出了准齐次向量空间的理论，并定义了a-，带c-函数。自1972年以来，^-函数的一般理论得到了广泛的发展，并取得了许多结果[8]、[3]、[6]。微局部微积分在函数理论中得到了很好的应用。本报告涉及一个确定(微局部)^-函数的算法。关于^-函数的一般理论，请读者参阅[1]、[2]和[5]。关于微局部微积分在P.V.和b-f函数中的应用(即§3)，见[4]。
M. Sato initiated a theory of prehomogenous vector spaces in 1961 and defined a-, band c-functions. The general theory of ^-function has extensively been developed since 1972, and an amount of results have ever been obtained [8], [3], [6]. Micro-local calculus finds its good application in the area of the ^-function theory. This report is concerned with an algorithm to determine (micro-local) ^-functions. As for the general theory of ^-function, we refer the reader to [1], [2] and [5]. Concerning an application of micro-local calculus to P.V. and b-f unctions (i.e. §3), see [4].