{"title":"Clark Measures on Bounded Symmetric Domains","authors":"Mattia Calzi","doi":"10.1007/s11785-024-01571-9","DOIUrl":null,"url":null,"abstract":"<p>Given a bounded symmetric domain <i>D</i>, we study (positive) pluriharmonic functions on <i>D</i> and investigate a possible analogue of the family of Clark measures associated with a holomorphic function from <i>D</i> into the unit disc in <span>\\(\\mathbb {C}\\)</span>.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"95 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Analysis and Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01571-9","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Given a bounded symmetric domain D, we study (positive) pluriharmonic functions on D and investigate a possible analogue of the family of Clark measures associated with a holomorphic function from D into the unit disc in \(\mathbb {C}\).
期刊介绍:
Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.