Application of Undular Analysis for Description of the Physical Phenomena

Abstract

The spectral decomposition is one of the most fruitful methods applied in technique. However more often spectroscopic decomposition is applied to signals and functions, time-dependent, less often from spatial coordinates. In this article it is proposed to view formally real objects as the functions depending simultaneously both from spatial and time coordinates. Such function can be presented in the form of the linear superposition (i.e. series or integral) of standard set of functions having more simple properties, in particular a set of the harmonic waves. The offered approach release us from necessity to explore separately each function-object having dependence from time and coordinates. Any object appears presented in the form of superposition of harmonic functions - waves, and viewing of its evolution appears simplified up to a limit. In last part the featured approach is applied as example for substantiation of postulates of a special theory of relativity.