{"title":"Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup","authors":"L. Rakhimi, Radouan Daher","doi":"10.1515/jaa-2023-0035","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we prove the Titchmarsh theorem for Laguerre hypergroup K = [ 0 , + ∞ [ × R \\mathbb{K}=[0,+\\infty\\mathclose{[}\\times\\mathbb{R} , via moduli of continuity of higher orders.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"44 12","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/jaa-2023-0035","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract In this paper, we prove the Titchmarsh theorem for Laguerre hypergroup K = [ 0 , + ∞ [ × R \mathbb{K}=[0,+\infty\mathclose{[}\times\mathbb{R} , via moduli of continuity of higher orders.
Abstract 本文通过高阶连续性模量证明了拉盖尔超群 K = [ 0 , + ∞ [ × R 的 Titchmarsh 定理（Titchmarsh theorem for Laguerre hypergroup K = [ 0 , + ∞ [ × R \mathbb{K}=[0,+\infty\mathclose{[}\times\mathbb{R}, via moduli of continuity of higher orders.
期刊介绍：
Journal of Applied Analysis is an international journal devoted to applications of mathematical analysis. Among them there are applications to economics (in particular finance and insurance), mathematical physics, mechanics and computer sciences. The journal also welcomes works showing connections between mathematical analysis and other domains of mathematics such as geometry, topology, logic and set theory. The journal is jointly produced by the Institute of Mathematics of the Technical University of Łódź and De Gruyter. Topics include: -applications of mathematical analysis (real and complex, harmonic, convex, variational)- differential equations- dynamical systems- optimization (linear, nonlinear, convex, nonsmooth, multicriterial)- optimal control- stochastic modeling and probability theory- numerical methods
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