Generalized functions associated with self-adjoint operators

CSpace

	Generalized functions associated with self-adjoint operators
	Liu, SP
	2000-06-01
发表期刊	JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN	0263-6115
卷号	68 页码:301-311
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.
关键词	generalized function self-adjoint operator completeness nuclearity
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics ; Statistics & Probability
WOS记录号	WOS:000087755400002
出版者	AUSTRALIAN MATHEMATICS PUBL ASSOC INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15518
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.