Seminars: A. A. Atamuratov, Polynomial approximation on the graphs of analytical functions

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) December 14, 2023 11:30, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

Polynomial approximation on the graphs of analytical functions A. A. Atamuratov^ab ^a Khorezm Regional Branch of the Institute of Mathematics named after V.I. Romanovsky of the Uzbekistan Academy of Sciences ^b V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan, Tashkent
Abstract: In this talk, graphs of entire functions are considered as parabolic manifolds in the sense of the existence of a special exhaustion function. The graph defines polynomials, as well as extremal functions of the Siciak and Green type. The equality between extremal functions on the analytical graph is proved. On analytical graphs an analogue of the well-known Bernstein—Walsh theorem is proved. Website: https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09