Azərbaycan Respublikası Elm və Təhsil Nazirliyi
Riyaziyyat və Mexanika İnstitutu

Annual report of “Functions Theory” department for 2017


In the reporting period, four works on “approximation of functions of many variables by ridge functions, neural networks, linear and nonlinear superpositions, inclusion theorems for function spaces” were executed. In the reporting period 13 papers (9 of them in Thomson Reuter journals) were published. Four papers were submitted for publication.

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.

He has given a lecture “Representation of C(X) as a sum of its subalgebras and some applications” 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). The talk deals with representation of the space of continuous function as a sum of its subalgebras.
Head 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 “Approximation by neural networks and some issues of frames” supported by the Presidium ANAS. In the framework of this program, two papers were published, two papers are in print.

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