{"title":"On the Hadamard multiplication theorem in ℂn","authors":"Maria Trybuła","doi":"10.1080/17476933.2024.2384478","DOIUrl":null,"url":null,"abstract":"The Hadamard product of two holomorphic functions given by Taylor series ∑αaαzα and ∑αbαzα, defined on neighborhoods Ω1 and Ω2 of the origin, is the function whose Taylor series is ∑αaαbαzα. For n=...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"29 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables and Elliptic Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/17476933.2024.2384478","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The Hadamard product of two holomorphic functions given by Taylor series ∑αaαzα and ∑αbαzα, defined on neighborhoods Ω1 and Ω2 of the origin, is the function whose Taylor series is ∑αaαbαzα. For n=...
期刊介绍:
Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds.
The Journal was formally published as Complex Variables Theory and Application.