{"title":"抽样,适应性和Kunze-Stein现象","authors":"J. Christensen, G. Ólafsson, S. Casey","doi":"10.1109/SAMPTA.2015.7148852","DOIUrl":null,"url":null,"abstract":"Inspired by recent work on the connection between representation theory and atomic decompositions, we take a look at convolution operators on non-unimodular amenable groups as well as non-compact semi-simple Lie groups. We then discuss this in context of sampling. Furthermore, we look at sampling and optimal sampling sets for some often studied spaces.","PeriodicalId":311830,"journal":{"name":"2015 International Conference on Sampling Theory and Applications (SampTA)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Sampling, amenability and the Kunze-Stein phenomenon\",\"authors\":\"J. Christensen, G. Ólafsson, S. Casey\",\"doi\":\"10.1109/SAMPTA.2015.7148852\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Inspired by recent work on the connection between representation theory and atomic decompositions, we take a look at convolution operators on non-unimodular amenable groups as well as non-compact semi-simple Lie groups. We then discuss this in context of sampling. Furthermore, we look at sampling and optimal sampling sets for some often studied spaces.\",\"PeriodicalId\":311830,\"journal\":{\"name\":\"2015 International Conference on Sampling Theory and Applications (SampTA)\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference on Sampling Theory and Applications (SampTA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SAMPTA.2015.7148852\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference on Sampling Theory and Applications (SampTA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SAMPTA.2015.7148852","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Sampling, amenability and the Kunze-Stein phenomenon
Inspired by recent work on the connection between representation theory and atomic decompositions, we take a look at convolution operators on non-unimodular amenable groups as well as non-compact semi-simple Lie groups. We then discuss this in context of sampling. Furthermore, we look at sampling and optimal sampling sets for some often studied spaces.