Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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CERTAIN RADIALLY DILATED CONVOLUTION AND ITS APPLICATION

  • Rhee, Jung-Soo (Department of Mathematics Pusan University of Foreign Studies)
  • Received : 2010.02.25
  • Accepted : 2010.03.08
  • Published : 2010.03.25
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Abstract

Using some interesting convolution, we find kernels recovering the given function f. By a slight change of this convolution, we obtain an identity filter related to the Fourier series in the discrete time domain. We also introduce some techniques to decompose an impulse into several dilated pieces in the discrete domain. The detail examples deal with specific constructions of those decompositions. Also we obtain localized moving averages from a decomposition of an impulse to make hybrid Bollinger bands, that might give various strategies for stock traders.

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References

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