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Atomic functions in antenna theory

This work is devoted to analysis of atomic functions applications to principal problems of antenna theory. The analysis follows the result of solution of some applied problems, such as determination of the antenna field in the far zone when the current distribution or the tangential components of the electromagnetics field on the surface of antenna are known, and of synthesis so as to determine a current (or field) in the antenna by means of radiation pattern, and boundary value problems to determine the field and surrounding area when excitation by outside sources and boundary conditions are known.