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Information × Registration Number 0305U003591, 0103U003364 , R & D reports Title Harmonic and spectral analysis of functions and operators popup.stage_title Наближення функцій поліномами. Ін'єктивність перетво-рення Помпейю для деяких класів розподілів. Теорія операторних мір. Теорія просторів Лебега за операторними мірами. Вектори максимального типа. Хелінгеровів тип операторних мір. Head Trigub R.M., Registration Date 19-05-2005 Organization Donetsk National University popup.description2 e explicit representation of a trigonometrical polynom of Taylor is found. The general direct theorem about approximation of smooth periodic functions by trigonometrical polynoms with Hermite interpolation is obtained. For the first time piecewise unilateral approximation is investigated. Properties of functions Buhmann are investigated, and also the question on positivity of their transformations Hankel is considered. Exact theorems of uniqueness for the solution of the equation of convolution on noncompact symmetric spaces of a rank 1 are obtained. Criteria injective for some classes of distributions are found. The analogue of the theorem of Borg for matrix operators of Sturm - Liouville is given. A spectrum of the self-connected expansions of the symmet-ric operator of a special kind arising in lacunas is investigated. Concepts of the boundary relation and family Weyl corresponding to it are entered. Product Description popup.authors popup.nrat_date 2020-04-02 Close