Generalized functions associated with self-adjoint operators
文献类型：期刊论文
| 作者 | Liu, SP |
| 刊名 | JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
 |
| 出版日期 | 2000-06-01 |
| 卷号 | 68页码:301-311 |
| 关键词 | generalized function self-adjoint operator completeness nuclearity |
| ISSN号 | 0263-6115 |
| 英文摘要 | In this paper, from several commutative self-adjoint operators on a Hilbert space, we define a class of spaces of fundamental functions and generalized functions, which are characterized completely by selfadjoint operators. Specially, using the common eigenvectors of these self-adjoint operators, we give the general form of expansion in series of generalized functions. 2000 Mathematics subject classification: primary 4SF05, 47B25. |
| 语种 | 英语 |
| WOS记录号 | WOS:000087755400002 |
| 出版者 | AUSTRALIAN MATHEMATICS PUBL ASSOC INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15517]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, SP |
| 作者单位 | Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, SP. Generalized functions associated with self-adjoint operators[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS,2000,68:301-311. |
| APA | Liu, SP.(2000).Generalized functions associated with self-adjoint operators.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS,68,301-311. |
| MLA | Liu, SP."Generalized functions associated with self-adjoint operators".JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 68(2000):301-311. |
入库方式： OAI收割
来源：数学与系统科学研究院
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