{"title":"有界域上与多维波动方程相关的函数的特殊希尔伯特空间","authors":"A. Mikhaylov, V. Mikhaylov","doi":"10.1109/DD55230.2022.9960960","DOIUrl":null,"url":null,"abstract":"We introduce the Hilbert space of analytic functions associated with the multidimensional wave equation in a bounded domain. This space can be considered as a generalization of the de Branges space for first order canonical systems.","PeriodicalId":125852,"journal":{"name":"2022 Days on Diffraction (DD)","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a special Hilbert space of functions associated with the multidimensional wave equation in a bounded domain\",\"authors\":\"A. Mikhaylov, V. Mikhaylov\",\"doi\":\"10.1109/DD55230.2022.9960960\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce the Hilbert space of analytic functions associated with the multidimensional wave equation in a bounded domain. This space can be considered as a generalization of the de Branges space for first order canonical systems.\",\"PeriodicalId\":125852,\"journal\":{\"name\":\"2022 Days on Diffraction (DD)\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 Days on Diffraction (DD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD55230.2022.9960960\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD55230.2022.9960960","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On a special Hilbert space of functions associated with the multidimensional wave equation in a bounded domain
We introduce the Hilbert space of analytic functions associated with the multidimensional wave equation in a bounded domain. This space can be considered as a generalization of the de Branges space for first order canonical systems.