2007/01/31 by Marie-Francoise Ouedraogo, Ouedraogo, Marie-Francoise, Sylvie Paycha +1
Mathematics · Physics and Astronomy · #11M36 #47G30 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #math-ph #math.MP #math.OA #msc:11M36 #msc:47G30
paper · pdf · doi:10.48550/arxiv.math-ph/0701076
arxiv created 2009/04/25 · arxiv updated 2009/12/01
Observing that the logarithm of a product of two elliptic operators differs from the sum of the logarithms by a finite sum of operator brackets, we infer that regularised traces of this difference are local as finite sums of noncommutative residues. From an explicit local formula for such regularised traces, we derive an explicit local formula for the multiplicative anomaly of zeta-determinants which sheds light on its locality and yields back previously known results.