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SOME STRUCTURAL PROPERTIES IN CONJUGATED FUNCTIONS OF MANY VARIABLES

By Valery Alexandrovich Okulov

Abstract

The work is devoted to the investigation of some structural properties in the conjugated function of many variables in the continuous and integral space metrics of the 2 pi -periodical functions. The criterion on the continuity of the conjugated functions of many variables in the terms of the intermediate continuity modules has been proven. The accurate evaluations for intermediate modules on the continuity of the conjugated and continuous functions have been obtained. The action of the conjugation operator on one important class of the continuous functions has been considered. A number of the results has been transferred to the space of the functions with integral metrics. The results can find application in the harmonic analysis of the functions of many variables and theory of approximations functions of many variables. The methods for theory of the functions of real variable and multidimensional harmonic analysis have been used.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio

Topics: 12A - Pure mathematics, STRUCTURAL PROPERTIES, CONJUGATED FUNCTIONS, FUNCTIONS OF MANY VARIABLES
Year: 1997
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Provided by: OpenGrey Repository
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