East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A NONHARMONIC FOURIER SERIES AND DYADIC SUBDIVISION SCHEMES

  • Rhee, Jung-Soo (DEPARTMENT OF MATHEMATICS PUSAN UNIVERSITY OF FOREIGN STUDIES)
  • Received : 2010.01.14
  • Accepted : 2010.01.21
  • Published : 2010.01.31
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Abstract

In the spectral analysis, Fourier coeffcients are very important to give informations for the original signal f on a finite domain, because they recover f. Also Fourier analysis has extension to wavelet analysis for the whole space R. Various kinds of reconstruction theorems are main subject to analyze signal function f in the field of wavelet analysis. In this paper, we will present a new reconstruction theorem of functions in $L^1(R)$ using a nonharmonic Fourier series. When we construct this series, we have used dyadic subdivision schemes.

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References

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