WAVELET ANALYSIS OF ONE-DIMENSIONAL COSMOLOGICAL DENSITY-FLUCTUATIONS

Wavelet analysis is proposed as a new tool for studying the large-scal e structure formation of the universe. To reveal its usefulness, the w avelet decomposition of a one-dimensional model of cosmological densit y fluctuations is performed. In contrast with Fourier analysis, the wa velet analysis has the advantage of the ability to retain information concerning location of local density peaks in addition to that of thei r: scales. The wavelet decomposition of evolving density fluctuations with various initial conditions is examined. We argue that the wavelet analysis is an alternative useful tool for data analysis as well as n onlinear analysis and may be usefully employed in the Sloan Digital Sk y Survey and COBE analyses.