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Information × Registration Number 0304U004021, 0103U003364 , R & D reports Title Harmonic and spectral analysis of functions and operators popup.stage_title Опис різних класів функцій із заданими інтегральними середніми. Метод узагальнених граничних операторів у теорії розширень симетричних операторів. Head Trigub R.M., Registration Date 01-03-2004 Organization Donetsk National University popup.description2 New properties of splines, including basic В-splines Schoenberg's, and ques-tions of splines - approximations (bilateral estimations) in space are inves-tigated. The exact order of smoothness of functions Buhmann is found. The question about nonnegative transformations Fourier of these functions is inves-tigated. Some properties of transformation Hankel with a complex parameter are proved. The theory of the equation of convolution on open subsets is constructed. Theorems of uniqueness, the theorem of eliminated feature, theo-rems of the description of decisions, theorems such as Phragmen-Lindelof are received. The structure of a nucleus of local transformation Pompeiu on sphere is studied. Exact conditions of injectiveness transformations Pompeiu are found. The interpolated problem Schur-Nevanlinna-Pick in generalized classes Schur is considered. The criterion of resolvability and the description of all decisions of a problem are received. Product Description popup.authors popup.nrat_date 2020-04-02 Close