Shuffle relations for regularised integrals of symbols

Details Shuffle relations for regularised integrals of symbols Shuffle relations for regularised integrals of symbols

2005-10-18

arxiv.org/abs/math-ph/0510067v2

Comm. Math. Phys. 270, 13-51 (2007)

Physics

Mathematical Physics

40 pages,latex. Changes concern sections 4 and 5 : an error in section 4 has been corrected, and the link between section 5 an

Scientific paper

We prove shuffle relations which relate a product of regularised integrals of classical symbols to regularised nested (Chen) iterated integrals, which hold if all the symbols involved have non-vanishing residue. This is true in particular for non-integer order symbols. In general the shuffle relations hold up to finite parts of corrective terms arising from renormalisation on tensor products of classical symbols, a procedure adapted from renormalisation procedures on Feynman diagrams familiar to physicists. We relate the shuffle relations for regularised integrals of symbols with shuffle relations for multizeta functions adapting the above constructions to the case of symbols on the unit circle.

Affiliated with

Also associated with

No associations

Rating

Shuffle relations for regularised integrals of symbols does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Shuffle relations for regularised integrals of symbols, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shuffle relations for regularised integrals of symbols will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194117