Abstract
In this work, we define the composition of wavelet transforms and obtain its Parsevals's identity. Furthermore, we discuss the convolution operator and continuous Dunkl wavelet transform as time-invariant filters. The physical interpretation and potential application of time-invariant filter involving Fredholm type integral are obtained.
Acknowledgments
Authors are very thankful to the reviewers for their valuable and constructive comments.
Disclosure statement
No potential conflict of interest was reported by the author(s).