期刊名称：Advances in Mechanical Engineering and its Applications
印刷版ISSN：2167-6380
出版年度：2012
卷号：1
期号：4
页码：70-85
语种：English
出版社：World Science Publisher
摘要：Local fractional Fourier analysis is a generalized Fourier analysis in fractal space. The local fractional calculus is one of useful tools to process the local fractional continuously non-differentiable functions (fractal functions). Based on the local fractional derivative and integration, the present work is devoted to the theory and applications of local fractional Fourier analysis in generalized Hilbert space. We investigate the local fractional Fourier series, the Yang-Fourier transform, the generalized Yang-Fourier transform, the discrete Yang-Fourier transform and fast Yang-Fourier transform.
