Renormalised iterated integrals of symbols with linear constraints
Mathematical Physics
2008-03-12 v2 math.MP
Operator Algebras
Abstract
Given a holomorphic regularisation procedure (e.g. Riesz or dimensional regularisation) on classical symbols, we define renormalised multiple integrals of radial classical symbols with linear constraints. To do so, we first prove the existence of meromorphic extensions of multiple integrals of holomorphic perturbations ofradial symbols with linear constraints and then implement either generalised evaluators or a Birkhoff factorisation. Renormalised multiple integrals are covariant and factorise over independent sets of constraints.
Keywords
Cite
@article{arxiv.math-ph/0702076,
title = {Renormalised iterated integrals of symbols with linear constraints},
author = {Sylvie Paycha},
journal= {arXiv preprint arXiv:math-ph/0702076},
year = {2008}
}