Department of Mathematics, Banaras Hindu University Varanasi – 221005 India.
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.
Chebyshev polynomial, Chebyshev transform, Chebyshev convolution, wavelet transforms, Chebyshev wavelet transform