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Green's matrix and the formula of Titchmarsh-Kodaira for singular left-definite canonical eigenvalue problems
Published online by Cambridge University Press: 14 November 2011
Synopsis
The theory of singular left-definite canonical eigenvalue problems treated by Nieβen and Schneider in is generalized to arbitrary λ∈(ℂ\ℝ∪{0}. In this enlarged theory the Green's matrix of the problem is evaluated and a natural analogue of the Titchmarsh-Kodaira formula is proved. This formula permits the explicit computation of the spectral matrix playing the main role in the expansion theorems of this theory.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 1-2 , 1979 , pp. 147 - 183
- Copyright
- Copyright © Royal Society of Edinburgh 1979
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