ON CONVOLUTION FOR WAVELET TRANSFORM
Ranjana S. Pathak, Ashish Pathak · International Journal of Wavelets Multiresolution and Information Processing · 2008
A basic function D(x,y,z) associated with the general wavelet transform is defined and its properties are investigated. Using D(x,y,z) associated with the wavelet transform, translation and convolution for this transform are defined and certain existence theorems are proved. An approximation theorem involving wavelet convolution is also proved.