针状体双谱
The needlets bispectrum
摘要：
本文的目的是将最近文献中关于球面上随机场的两条不同的线索结合起来，即一方面是高阶角功率谱的统计分析，另一方面是球面上第二代小波的构造。为了这个目的，我们引入了针状双谱，我们得出了一些收敛结果。在这里，极限理论是在高分辨率意义上发展的。这些结果的主要动机是需要在宇宙微波背景辐射中搜索非高斯性的统计程序。
英文摘要：
The purpose of this paper is to join two different threads of the recent literature on random fields on the sphere, namely the statistical analysis of higher order angular power spectra on one hand, and the construction of second-generation wavelets on the sphere on the other. To this aim, we introduce the needlets bispectrum and we derive a number of convergence results. Here, the limit theory is developed in the high resolution sense. The leading motivation of these results is the need for statistical procedures for searching non-Gaussianity in Cosmic Microwave Background radiation.
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