Adamyan, Vadym; Tkachenko Gorski, Igor Mijail(Wiley-VCH Verlag, 2014-12-22)
The work is devoted to the local moment problem, which consists in finding of non-decreasing functions on the real axis
having given first 2n+1; n = 0,1,2,...; power moments on the whole axis and also 2m+1 first power ...
Adamyan, Vadym; Iserte Vilar, José Luis; Tkachenko Gorski, Igor Mijail; Verdú Martín, Gumersindo Jesús(2014-09)
For positive definite Toeplitz matrices generated by trigonometric moments of a non-negative measure we note that the Hilbert-Schmidt norm and the maximal eigenvalue satisfy certain limiting relations. Analogous relations ...