ABOUT SOME PROPERTIES OF FUNCTIONS OF ( phi (b*00nx+*00n)) TYPE

The investigation objects are system of function of the specified type and series on such systems. The aim is to study some properties of the specified systems (first of all, orthogonality conditions and completeness conditions) and also properties of the species sums on these systems. The problem on the construction of the orthogonal systems and complete systems of the considered type has been investigated by the methods of the theory of functions of the real and complex variable. The obtained new conditions of the orthogonality and completeness and also the investigation results of the differential properties in the series sums carry the universal character and can be used in the different fields of the theory of functions. The new method of constructing examples of the continuous functions which are not the symmetric-differentiated ones has been proposed.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio