Applications of atomic functions to the boundary value problems and signal processing millimeter band

Atomic functions are finite infinitely differentiable functions that satisfy some simple functional differential equations. Attention here is focused primarily on the application of atomic functions to signal processing and image reconstruction. However, the potential capabilities of this mathematical tool are quite diverse and they can find wide application in various boundary value problems in radio physics, thermal conductivity, diffraction of elastic waves, etc. They can be used as the basis functions for solving problems of electrodynamics, antenna analysis and synthesis, millimeter band, etc. Moreover, they can be used in signal processing problems in medical equipment in combination with other approaches