Spectral analysis of finite section normal integral operators

Some continuity and differentiability properties of the eigenvalues and eigenfunctions of finite section normal integral operators are proved. These are the extension of corresponding results for symmetric operators ( R. Vittal Rao, J. Math. Anal. Appl. 53 (1976) , 554–566; K. B. Athreya and R. Vitt...

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Published inJournal of mathematical analysis and applications Vol. 115; no. 1; pp. 23 - 45
Main Authors Rao, R.Vittal, Sukavanam, N
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.04.1986
Elsevier
Subjects
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
Eigenvalue
Integral operator
Spectral theory
Eigenfunction
Mathematical operator
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Summary:Some continuity and differentiability properties of the eigenvalues and eigenfunctions of finite section normal integral operators are proved. These are the extension of corresponding results for symmetric operators ( R. Vittal Rao, J. Math. Anal. Appl. 53 (1976) , 554–566; K. B. Athreya and R. Vittal Rao, to appear; R. Vittal Rao and N. Sukavanam, J. Math. Anal. Appl. 109 (1985) , 463–471.
ISSN:0022-247X
1096-0813
DOI:10.1016/0022-247X(86)90022-3