符号正则化积分的混洗关系
Shuffle relations for regularised integrals of symbols
摘要：
我们证明洗牌的关系，涉及产品的正则化积分的经典符号，正则化嵌套（陈）迭代积分，如果所有的符号有非零残留。这对于非整数阶符号尤其如此。在一般的洗牌关系举行了有限的部分所产生的校正条款的重整化的张量积的经典符号，一个程序改编自重整化程序费曼图熟悉的物理学家。我们与洗牌关系的正规化积分的符号与洗牌关系的multizeta函数适应上述结构的情况下，符号的单位圆。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
