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Eigenvalues of smooth positive definite kernels

Published online by Cambridge University Press:  20 January 2009

J. B. Reade
J. B. Reade
Affiliation:
Mathematics DepartmentManchester UniversityManchesterM13 9PL, England
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For positive definite C1 kernels on a finite real interval the eigenvalues λn are known to be o(1/n2). In this paper this result is shown to be best possible in the best possible sense, namely that, given any decreasing sequence λn, which is o(1/n2), there exist positive definite C1 kernels whose eigenvalues are λn.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 1 , February 1992 , pp. 41 - 45
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

REFERENCES

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