{"title":"A residue formula for integrals with hyperplane singularities","authors":"Andrew O'Desky","doi":"arxiv-2408.12586","DOIUrl":null,"url":null,"abstract":"We prove a new residue formula for integrals with singularities along affine\nhyperplanes. Our formula makes use of a notion for real matrices called\nstability which is inspired by ideas from total positivity.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"16 3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.12586","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We prove a new residue formula for integrals with singularities along affine
hyperplanes. Our formula makes use of a notion for real matrices called
stability which is inspired by ideas from total positivity.
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