Journal of Wavelet Theory and Applications
  • Year: 2007
  • Volume: 1
  • Issue: 1

Chebyshev wavelet transforms

  • Author:
  • R.S. Pathak, C.P. Pandey
  • Total Page Count: 18
  • Page Number: 13 to 30

Department of Mathematics, Banaras Hindu University Varanasi – 221005 India.

Abstract

Using convolution theory for the Chebyshev transform due to Butzer and Stens, continuous Chebyshev wavelet transform (CWT) is defined.

A general reconstruction formula is established. A discrete version of the CWT is also given and some of its properties are investigated.

Keywords

Chebyshev polynomial, Chebyshev transform, Chebyshev convolution, wavelet transforms, Chebyshev wavelet transform