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THE LEGENDRE TYPE OPERATOR IN A LEFT DEFINITE HILBERT SPACE

 

作者: AllanM. Krall,   W.N. Everitt,   L.L. Littlejohn,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1992）
卷期: Volume 15, issue 4  

页码: 467-475

 

ISSN:1607-3606

 

年代: 1992

 

DOI:10.1080/16073606.1992.9631705

 

出版商: Taylor & Francis Group

 

关键词: 34B25

 

数据来源: Taylor

 

摘要:

Thetechniquesfor discussing linear differential operators in left definite spaces, developed earlier for regular fourth order and singular second order operators, are applied the Legendre type operator. It is shown that the operator, with its domain merely restricted to the new space, remains self-adjoint and has the same spectrum, inverse and spectral resolution (an eigenfunction expansion) as the originalL2operator.

 

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