January 5th, 2014, 03:13 AM  #1 
Newbie Joined: Jan 2014 Posts: 2 Thanks: 0  analytic extension
Show that there is no analytic extension of on 
January 26th, 2014, 12:44 PM  #2 
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: analytic extension
Assume that is analytic on the domain then it's derivative must be also analytic on the same domain which implies that any closed curve around the origin must vanish. Since , we get a contradiction.


Tags 
analytic, extension 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Field extension  limes5  Abstract Algebra  6  January 8th, 2014 06:24 AM 
Galoisextension?  Epsilon90  Abstract Algebra  5  December 9th, 2013 09:25 PM 
extension field  Sandra93  Abstract Algebra  5  November 19th, 2013 05:45 AM 
finite extension  tinynerdi  Abstract Algebra  1  June 1st, 2010 01:21 AM 
field extension, gcd  eskimo343  Abstract Algebra  0  February 12th, 2010 10:22 AM 