期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2009
卷号：2009
DOI：10.1155/2009/270492
出版社：Hindawi Publishing Corporation
摘要：Asymptotic expansions of the wavelet transform for large and small values of the translation parameter 𝑏 are obtained using asymptotic expansions of the Fourier transforms of the function and the wavelet. Asymptotic expansions of Mexican hat wavelet transform, Morlet wavelet transform, and Haar wavelet transform are obtained as special cases. Asymptotic expansion of the wavelet transform has also been obtained for small values of 𝑏 when asymptotic expansions of the function and the wavelet near origin are given.
