标题： 一维宇宙学密度涨落的小波分析 显示英文标题

标题： Wavelet Analysis of One-Dimensional Cosmological Density Fluctuations

摘要： 小波分析被提出作为一种研究宇宙大尺度结构形成的新工具。为了揭示其有用性，对一维宇宙密度涨落进行了小波分解。与傅里叶分析相比，小波分析除了能够保留尺度信息外，还具有保留局部密度峰位置信息的优势。研究了具有各种初始条件的演化密度涨落的小波分解。通过将小波分析与通常的傅里叶分析进行比较，我们得出结论，小波分析有望成为斯隆数字巡天和COBE的数据分析方法。 显示英文摘要

摘要： Wavelet analysis is proposed as a new tool for studying the large-scale structure formation of the universe. To reveal its usefulness, the wavelet decomposition of one-dimensional cosmological density fluctuations is performed. In contrast with the Fourier analysis, the wavelet analysis has advantage of its ability to keep the information for location of local density peaks in addition to that for their scales. The wavelet decomposition of evolving density fluctuations with various initial conditions is examined. By comparing the wavelet analysis with the usual Fourier analysis, we conclude that the wavelet analysis is promising as the data analysis method for the Sloan Digital Sky Survey and COBE.