The monograph is devoted to research and development of methods for analysis of physical
systems based on theories of R-and atomic functions, WA-systems of functions, the …

The main physical applications of atomic, WA-systems, and R-functions are presented. The
Whittaker-Kotelnikov-Shannon sampling theorem is generalized on the basis of atomic …

In this report the combined method of correlation radar signal (RS) processing based on the
theory of atomic functions (AF) is examined. Examples of using of new probability …

This review consist of two parts. First part of review concerned with atomic functions theory
and it's applications in digital signal processing problems, antennas synthesis and sampling …

In this representation the new class of analytical WA-systems of Kravchenko functions on the
basis of the theory of atomic functions (AF)[1-5] are constructed and proof. The all wavelet …

Nonparametric estimations of probability density function (PDF)[1-3] and its derivatives are
considered. New constructions of weight functions (WF)[4, 5] with the compact support are …

In this study, the possibility to describe the signals scattered by various physical objects such
as underlying surfaces of land and sea, the segments of “clear sky,” and processes of …

The third part of the review is devoted to the application of families of atomic functions for the
construction of weighting functions (windows) based on convolutions that allow a decrease …

In this report the new WA-systems Kravchenko-Rvachev functions based on atomic
distributions for SAR problems are proposed. New functions have the following main …

For the first time applications of probability densities constructed on the atomic functions (AF)
theory for analysis and synthesis for linear arrays are considered. Average characteristics of …