Analytic Kravchenko-Kaiser wavelets and their physical properties

This paper presents results of construction of the new class of weight and WA-systems of Kravchenko-Kaiser functions. It has some efficiency in a variety of physical applications. The work consists of three parts. First, on the basis of the theory of atomic functions (AF) [1-10] and Kaiser [10] windows the Kravchenko-Kaiser weight functions are constructed. Then, the new construction of analytical WA-systems of functions is proposed and their advantages are shown. In the final part, the applications to problems of weight averaging the difference frequency are discussed.