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A New Viewpoint to Fourier Analysis in Fractal Space

  • Mengke Liao
  • Xiaojun Yang
  • Qin Yan
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 41)

Abstract

Fractional analysis is an important method for mathematics and engineering, and fractional differentiation inequalities are great mathematical topic for research. In this paper we point out a new viewpoint to Fourier analysis in fractal space based on the local fractional calculus and propose the local fractional Fourier analysis. Based on the generalized Hilbert space, 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.

Notes

Acknowledgement

This work is grateful for the finance supports of the National Natural Science Foundation of China (Grant No. 50904045).

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.College of Water conservancyShihezhi UniversityShihezhiP.R. China
  2. 2.Department of Mathematics and MechanicsChina University of Mining and TechnologyXuzhouP.R. China

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