Skip to main content
Article
A New Viewpoint to Fourier Analysis in Fractal Space
In. Proc: AMAT 2012 (2012)
  • Yang Xiaojun
Abstract

Fractional analysis is an important method for mathematics and engineering [1-21], and fractional differentiation inequalities are great mathematical topic for research [22-24]. In the present paper we point out a new viewpoint to Fourier analysis in fractal space based on the local fractional calculus [25-58], and propose the local fractional Fourier analysis. Based on the generalized Hilbert space [48, 49], we obtain the generalization of local fractional Fourier series via the local fractional calculus. An example is given to elucidate the signal process and reliable result.

Keywords
  • Fourier analysis,
  • fractal space,
  • local fractional calculus,
  • generalized Hilbert space,
  • fractional-order complex mathematics
Publication Date
2012
Publisher Statement
This paper is coprighted by the publisher.
Citation Information
M.K. Liao, X.J. Yang, Q. Yan, A new viewpoint to Fourier analysis in fractal space, In Proc: AMAT 2012, accepted.