
ВИДЕОТЕКА 
Международная конференция по комплексному анализу памяти А.А. Гончара и А.Г. Витушкина



Free Variations on the (eternal) Theme of Analytic Continuation Д. Хавинсон^{} ^{} University of South Florida, Department of Mathematics 

Аннотация: “Between two truths of the real domain, the easiest and shortest path quite often passes through the complex domain.” P. Painlevé, 1900 – When does the Taylor series – How far does the Newtonian potential of a solid (or, the logarithmic potential of a plate) bounded by an algebraic surface (curve)extend inside the solid? How come the singularities of such potential are algebraic for an ellipse and an oblate spheroid and transcendental for a prolate spheroid? – How does one find singularities of an axially symmetric harmonic function in the ball from the coefficients in its expansion in spherical harmonics? – If a line intersects a spherical shell over two disjoint segments and a harmonic function in the shell vanishes on one, does it have to vanish on the other one? – Where does the solution of the Dirichlet problem in a domain with algebraic boundary might have a singularity outside the domain? We shall discuss these questions in the unified light of analytic continuation, and, in particular, analytic continuation of solutions to analytic PDE. Website: https://ruhrunibochum.zoom.us/j/97741434694?pwd=L1RaMGpEODY1dFpvRHZ4eGFQNzZ6Zz09 ^{*} Идентификатор конференции: 977 4143 4694. Пароль: 045382. 