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Information × Registration Number 0214U005835, 0114U005154 , R & D reports Title Probability problems in the spectral theory and on groups popup.stage_title Head Pastur Leonid Andrijovych, Registration Date 22-12-2014 Organization B.I.Verkin Institute for Low Temperature Physics and Engineering of National Academy of Sciences of Ukraine popup.description2 On an arbitrary locally compact Abelian group we proved that distributions that have a continuous positive density and are characterized by the independence of two linear forms of two independent random variables are convolutions of Gaussian and idempotent distributions. We described distributions on a-adic solenoids which characterized by the symmetry of the conditional distribution of one linear form given another. We consider a model of a random matrix which is a linear combination of matrices of projectors on independent identically distributed random vectors. Product Description popup.authors Васильчук Володимир Юрійович Голінський Леонід Борисович Мазур Іван Петрович Миронюк Маргарита Вячеславівна Пастур Леонід Андрійович Фельдман Геннадій Михайлович Щербина Марія Володимирівна popup.nrat_date 2020-04-02 Close