Eigenvalues of positive integral operators with certain entire kernels
Published online by Cambridge University Press: 24 October 2008
Extract
Suppose that (an) (n ≥ 0) is a square-summable sequence of strictly positive real numbers; then the integral operator T on L2(− 1,1) given by
is compact and positive and, therefore, its eigenvalues can be arranged into a sequence λ0 ≥ λ1 ≥ λ2 ≥ … of non-negative real numbers which decreases to 0.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 3 , May 1986 , pp. 535 - 545
- Copyright
- Copyright © Cambridge Philosophical Society 1986
References
REFERENCES
- 1
- Cited by