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Singular numbers of smooth kernels. II

Published online by Cambridge University Press:  24 October 2008

Charles Oehring
Charles Oehring
Affiliation:
Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, U.S.A.
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Extract

Reade[10] has recently improved Weyl's classical estimate λn = o(n−3/2) for the eigenvalues of a symmetric kernel K∈C1 by relaxing the Cl hypothesis to the assumptions that K∈L2[0, 2π]2, that K is absolutely continuous in each variable separately, and that both ∂K/∂s and ∂K/t belong to L2[0, 2π]2. The conclusion of his theorem, that is, of course, stronger than λn = o(n−3/2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 1 , January 1989 , pp. 165 - 167
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

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