A new class of WA-systems of Kravchenko-Rvachev functions

In this paper, we suggest and substantiate constructions of a new class of WA-systems of Kravchenko‐ Rvachev functions [1, 2] based on atomic functions (AFs) and using the ideas and results of [1‐7]. In the first part, we describe an algorithm for constructing WA-systems of functions, and in the second part, we perform a computational study of a new family of complex wavelets based on AFs and possessing a number of useful properties. These wavelets and their Fourier images are determined by analytical relations.