Seminars: S. M. Abdikadirov, Continuation of separately harmonic functions along a fixed direction

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) December 21, 2023 11:30, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

Continuation of separately harmonic functions along a fixed direction S. M. Abdikadirov Karakalpak State University named after Berdakh
Abstract: In this talk we prove that if $u(x,y)$ is a separately harmonic function in the domain $D\times V\subset {{\mathbb{R}}^{n}}\times {{\mathbb{R }}^{2}}$ and for each fixed ${{x}_{0}}\in E\subset D$, where $E$ is not $h$-pluripolar, the function $u({{x} _{0}},y)$ has harmonic continuation to the entire plane ${{\mathbb{R}}^{2}}$, then $u(x,y)$ has harmonic continuation to the domain $D\times {{\mathbb{R}}^{2}}$. Website: https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09