带线性约束的符号重正化迭代积分
Renormalised iterated integrals of symbols with linear constraints
摘要：
给定一个全纯正则化程序（例如Riesz或维正则化）的经典符号，我们定义重正规化的多重积分的径向经典符号与线性约束。要做到这一点，我们首先证明存在的亚纯扩展的多重积分的全纯扰动ofradial符号与线性约束，然后实施广义评估或Birkhoff因式分解。重正化多重积分是协变的，并且在独立的约束集上分解。
英文摘要：
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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