On the Cauchy Integral Theorem and Polish spaces

Autor:	Morales, Cristian López, Maluendas, Camilo Ramírez
Rok vydání:	2023
Předmět:	Mathematics - Complex Variables 30E20 03E10 51M15
Druh dokumentu:	Working Paper
Popis:	We prove that if a function $f$ is continuous in an open subset $U\subset\mathbb{C}$ and analytic in $U\setminus X$, where $X\subset U$ is a Polish space having characteristic system $(i,n)$, such that $i\in\{0,1\}$ and $n\in\mathbb{N}$, then the complex integral line of $f$ along the boundary of any triangle in $U$ vanishes.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.13159 Zobrazit plný text záznamu View this record from Arxiv