most recent 30 from http://mathoverflow.net 2013-05-20T14:46:58Z http://mathoverflow.net/feeds/question/84448 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/84448/analysis-in-division-rings unknown (yahoo) 2011-12-28T15:17:34Z 2011-12-29T14:09:15Z

<p>In the question <a href="http://mathoverflow.net/questions/84306/what-are-other-applications-of-difference-equations-in-other-branches-of-mathemat" rel="nofollow">here</a>, the subject of "Analysis in Positive Characteristic" is mentioned. Looking at Wikipedia's <a href="http://en.wikipedia.org/wiki/Local_field" rel="nofollow">local field</a>, this is the final type of analysis in local fields to be developed following on from real, complex and p-adic analysis. ( Is there a snappy name for this? Charpos analysis ? ff/Fq analysis ? Carlitz analysis ?)</p> <p>Question: What is the situation with regard to division rings - Is there a classification of local division rings? and for which ones has analysis been developed ?</p>

http://mathoverflow.net/questions/84448/analysis-in-division-rings/84516#84516 Paul Broussous 2011-12-29T14:09:15Z 2011-12-29T14:09:15Z

<p>The classification of locally compact (non necessarily commutative) fields is done in chapter 1 of André Weil's Basic Number Theory. His method is very nice, based on the existence of a Haar measure on a locally compact group.</p>