In the reporting period, four works on \u201capproximation of functions of many variables by ridge functions, neural networks, linear and nonlinear superpositions, inclusion theorems for function spaces\u201d were executed. In the reporting period 13 papers (9 of them in Thomson Reuter journals) were published. Four papers were submitted for publication.<\/p>\n
In the reporting period, the head of department, dr. of sci. in math. Vugar Ismailov, lead. res. ass. dr. phys. math. sci. prof. Alik Najafov, lead. res. ass. cand. ph. math. sci. Rashid Aliev have participated at the institute seminars. On 02.03.2017-18.03.2017 the head of department, dr. of sci. in math. Vugar Ismailov was on a professional trip at Oxford University. The goal of this visit was to give a talk at the Functional Analysis seminar, to carry out scientific discussions with Prof. C.Batty and other researchers of the Oxford Mathematical Institute and participation at various seminars.<\/p>\n
He has given a lecture \u201cRepresentation of C(X) as a sum of its subalgebras and some applications\u201d at the Functional Analysis seminar at Oxford University. Brief content and goal of the talk may be found at the site of Oxford University (see: https:\/\/www.maths.ox.ac.uk\/node\/24710<\/a>). The talk deals with representation of the space of continuous function as a sum of its subalgebras.
\nHead of department dr. of sci. in math. Vugar Ismailov, cand. ph. math. sci. Ibrahim Maharov, doc. phys. math. sci. prof. Arzu Babayev and Aida Asgarova are the participants of the program \u201cApproximation by neural networks and some issues of frames\u201d supported by the Presidium ANAS. In the framework of this program, two papers were published, two papers are in print.<\/p>\n