复杂情况下径向Dunkl和热核的尖锐估计

Pub Date : 2020-12-22 DOI:10.5802/CRMATH.188

P. Graczyk, P. Sawyer

{"title":"复杂情况下径向Dunkl和热核的尖锐估计","authors":"P. Graczyk, P. Sawyer","doi":"10.5802/CRMATH.188","DOIUrl":null,"url":null,"abstract":"In this article, we consider the radial Dunkl geometric case k = 1 corresponding to flat Riemannian symmetric spaces in the complex case and we prove exact estimates for the positive valued Dunkl kernel and for the radial heat kernel. Dans cet article, nous considerons le cas geometrique radial de Dunkl k = 1 correspondant aux espaces symetriques riemanniens plats dans le cas complexe et nous prouvons des estimations exactes pour le noyau de Dunkla valeur positive et pour le noyau de chaleur radial.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case A n\",\"authors\":\"P. Graczyk, P. Sawyer\",\"doi\":\"10.5802/CRMATH.188\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we consider the radial Dunkl geometric case k = 1 corresponding to flat Riemannian symmetric spaces in the complex case and we prove exact estimates for the positive valued Dunkl kernel and for the radial heat kernel. Dans cet article, nous considerons le cas geometrique radial de Dunkl k = 1 correspondant aux espaces symetriques riemanniens plats dans le cas complexe et nous prouvons des estimations exactes pour le noyau de Dunkla valeur positive et pour le noyau de chaleur radial.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-12-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.5802/CRMATH.188\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5802/CRMATH.188","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 5

摘要

在这篇文章中，我们考虑了径向Dunkl几何情况k = 1对应于平面黎曼对称空间的复杂情况，并给出了正值Dunkl核和径向热核的精确估计。在本文中，我们考虑了Dunkl k = 1在复情况下对应于黎曼对称平面空间的径向几何情况，并证明了Dunkl核和径向热核的精确估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case A n

In this article, we consider the radial Dunkl geometric case k = 1 corresponding to flat Riemannian symmetric spaces in the complex case and we prove exact estimates for the positive valued Dunkl kernel and for the radial heat kernel. Dans cet article, nous considerons le cas geometrique radial de Dunkl k = 1 correspondant aux espaces symetriques riemanniens plats dans le cas complexe et nous prouvons des estimations exactes pour le noyau de Dunkla valeur positive et pour le noyau de chaleur radial.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助