Generalization of Kravchenko wavelets based on the family of atomic functions cha, n

Wavelets are widely applied in modern science and technology. Construction of wavelets based on new family of atomic functions ch_a,n is presented. This family also allows unified examination of wavelets based on atomic functions up(x), h_a(x) and Ξ_n(x). The construction of orthogonal Kravchenko wavelets (also known as WA-systems) is based on the Riesz basis and Daubechies theorems.