Quadratic differentials A(z-a)(z-b)dz^2/(z-c)^2 and algebraic Cauchy transform

Autor:	Atia, Mohamed Jalel, Thabet, Faouzi
Rok vydání:	2015
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	In this paper, we discuss the representability almost everywhere (a.e.) in the plane of an irreducible algebraic function as the Cauchy transform of a signed measure supported on a finite number of compact semi-analytic curves and a finite number of isolated points. We discuss the existence of critical trajectories of a family of quadratic differentials. Comment: 13 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1506.06543 Zobrazit plný text záznamu View this record from Arxiv