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Approximation of equilibrium measures by discrete measures
(Bilkent University, 2012)
Basic notions of potential analysis are given. Equilibrium measures can be approximated by discrete measures by means of Fekete points and Leja sequences. We give the sets for which exact locations of Fekete points and ...
Existence of basis in some Whitney spaces
(Bilkent University, 2003)
Existence of basis in locally convex spaces has been a hot subject in functional analysis for more than 40 years. We will give some partial solutions to this well-known problem. We will demonstrate two cases of Cantor-type ...
Interpolating bases in the spaces of C(formula)-functions on cantor-type sets
(Bilkent University, 2006)
In this work by using the method of local interpolat ions suggested in  we construct topological bases in the spaces of CP-functions defined on uniformly perfect compact sets of Cantor type. Elements of the basis are ...