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Asymptotic of singular numbers and eigenvalues of weakly perturbed operators

✍ Scribed by G. V. Radzievskii


Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
466 KB
Volume
43
Category
Article
ISSN
0001-4346

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Asymptotic behavior of singular values a
✍ V. Faber; Thomas A. Manteuffel; Andrew B. White Jr; G.Milton Wing πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 589 KB

The singular values and singular functions of the convolution operator Ko= fo'K(x-y)'dy, O<-x <-I. are studied under the conditions that K(u) is mildly smooth and K(0) ~ 0. It is shown that these singular values and functions are asymptotic to those of the operator with K(u) -= I. A study of the ke