Renormalised iterated integrals of symbols with linear constraints

Details Renormalised iterated integrals of symbols with linear constraints Renormalised iterated integrals of symbols with linear constraints

2007-02-22

arxiv.org/abs/math-ph/0702076v2

Physics

Mathematical Physics

Scientific paper

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.

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