Some remarks on Boas transforms of wavelets
Nikhil Khanna, S. K. Kaushik, Abdulla M. Jarrah · Integral Transforms and Special Functions · 2019
In this paper, we study Boas transforms of wavelets and obtain a sufficient condition under which the Boas transform of a wavelet is the derivative of another wavelet. Also, a characterization of the Boas transform of a wavelet ψ∈BR−[−1,1] is given. A sufficient condition is given to obtain higher order vanishing moments of Boas transforms of wavelets. Further, we study the Boas transform of wavelets in L2(R2). Finally, higher order vanishing moments of Boas transforms of wavelets have been used to approximate finite energy functions.