Mellin-Barnes-Hecke型积分的统一方法
A unified approach to the integrals of Mellin--Barnes--Hecke type
摘要：
本文利用分布理论和傅里叶变换给出了一族Mellin-Barnes型积分的统一方法。有趣的功能出现在许多情况下，要求应用拉回的分布通过光滑淹没地图定义的Hörmander。我们推导出这种方法的积分Hecke和Sonine有关的各种类型的贝塞尔函数已发现应用在分析和代数数论。
英文摘要：
In this paper we provide a unified approach to a family of integrals of Mellin--Barnes type using distribution theory and Fourier transforms. Interesting features arise in many of the cases which call for the application of pull-backs of distributions via smooth submersive maps defined by Hörmander. We derive by this method the integrals of Hecke and Sonine relating to various types of Bessel functions which have found applications in analytic and algebraic number theory.
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