4 papers
Towards an Effectivisation of the Riemann Theorem
S. M. Natanzon
The Riemann Theorem states, that for any nontrivial connected and simply connected domain on the Riemann sphere there exists some its conformal bijection to the exterior of the uni…
Integrable systems and effectivisation of Riemann theorem about domaims of the complex plane
S. M. Natanzon
Consider a closed analytic curve in the complex plane and denote by > and the interior and exterior domains with respect to the curve. The point is assumed to…
Witten solution of the Gelfand-Dikii hierarchy
S. M. Natanzon
Among solutions of n-Gelfand-Dikii's hierarchy there exists a remarkable solution W, which satisfies the string equation. We call it Witten's solution because according to the Witt…
Geometry and algebra of real forms of complex curves
S. M. Natanzon
Let Y be a complex algebraic curve and let [Y]={X_1,...,X_n} be the set of all real algebraic curves X_i with complexification X_i(C)=Y, such that the real points X_i(R) divide X_i…