{"title":"希尔伯特空间中的拟平稳序列","authors":"J. Muriuki","doi":"10.4314/AJST.V5I2.15333","DOIUrl":null,"url":null,"abstract":"In this paper the concept of covariance differences of a sequence is introduced and its relationship with the covariance function is established. The criteria of linear representability of sequences in Hilbert space are proved. The necessary and sufficient conditions for a linearly representable sequence to be quasistationary are given and proved. The properties of dissipative random sequences are studied. African Journal of Science and Technology Vol. 5(2) 2004: 83-91","PeriodicalId":7641,"journal":{"name":"African Journal of Science and Technology","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2006-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasistationary sequences in Hilbert spaces\",\"authors\":\"J. Muriuki\",\"doi\":\"10.4314/AJST.V5I2.15333\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper the concept of covariance differences of a sequence is introduced and its relationship with the covariance function is established. The criteria of linear representability of sequences in Hilbert space are proved. The necessary and sufficient conditions for a linearly representable sequence to be quasistationary are given and proved. The properties of dissipative random sequences are studied. African Journal of Science and Technology Vol. 5(2) 2004: 83-91\",\"PeriodicalId\":7641,\"journal\":{\"name\":\"African Journal of Science and Technology\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-05-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"African Journal of Science and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/AJST.V5I2.15333\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"African Journal of Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/AJST.V5I2.15333","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper the concept of covariance differences of a sequence is introduced and its relationship with the covariance function is established. The criteria of linear representability of sequences in Hilbert space are proved. The necessary and sufficient conditions for a linearly representable sequence to be quasistationary are given and proved. The properties of dissipative random sequences are studied. African Journal of Science and Technology Vol. 5(2) 2004: 83-91
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