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Article
Theory and Applications of Local Fractional Fourier Analysis
Advances in Mechanical Engineering and its Applications (2012)
  • Yang Xiaojun
Abstract

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.

Keywords
  • Fractal space; Local fractional Fourier analysis; Local fractional calculus; Non-differentiable functions
Publication Date
2012
Publisher Statement
This paper is coprighted by WSP.
Citation Information
Yang Xiaojun. "Theory and Applications of Local Fractional Fourier Analysis" Advances in Mechanical Engineering and its Applications Vol. 1 Iss. 4 (2012)
Available at: http://works.bepress.com/yang_xiaojun/41/