{"title":"有限Balian-Low猜想","authors":"M. Lammers, Simon Stampe","doi":"10.1109/SAMPTA.2015.7148867","DOIUrl":null,"url":null,"abstract":"We present a conjecture for a finite version of the celebrated Balian-Low Theorem for Gabor systems in L<sup>2</sup>(R). We proceed to prove a special case of the conjecture for C<sup>9</sup>.","PeriodicalId":311830,"journal":{"name":"2015 International Conference on Sampling Theory and Applications (SampTA)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"The finite Balian-Low conjecture\",\"authors\":\"M. Lammers, Simon Stampe\",\"doi\":\"10.1109/SAMPTA.2015.7148867\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a conjecture for a finite version of the celebrated Balian-Low Theorem for Gabor systems in L<sup>2</sup>(R). We proceed to prove a special case of the conjecture for C<sup>9</sup>.\",\"PeriodicalId\":311830,\"journal\":{\"name\":\"2015 International Conference on Sampling Theory and Applications (SampTA)\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-07-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"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.2015.7148867\",\"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.2015.7148867","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We present a conjecture for a finite version of the celebrated Balian-Low Theorem for Gabor systems in L2(R). We proceed to prove a special case of the conjecture for C9.