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P. Goupillaud, A. Grossmann and J. Morlet, “Cycle Oc-Tave and Related Transforms in Seismic Signal Analysis,” Geoexploration, Vol. 23, No. 1, 1984, pp. 85-102. doi:10.1016/0016-7142(84)90025-5

has been cited by the following article:

• TITLE: The Continuous Wavelet Transform Associated with a Dunkl Type Operator on the Real Line

  AUTHORS: E. A. Al Zahrani, M. A. Mourou

  KEYWORDS: Differential-Difference Operator; Generalized Wavelets; Generalized Continuous Wavelet Transform

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.5, July 23, 2013

  ABSTRACT: We consider a singular differential-difference operator Λ on R which includes as a particular case the one-dimensional Dunkl operator. By using harmonic analysis tools corresponding to Λ, we introduce and study a new continuous wavelet transform on R tied to Λ. Such a wavelet transform is exploited to invert an intertwining operator between Λ and the first derivative operator d/dx.