Construction of regular and singular Green's functions
Published online by Cambridge University Press: 30 January 2012
Abstract
The Green function of singular limit-circle problems is constructed directly for the problem, not as a limit of sequences of regular Green's functions. This construction is used to obtain adjointness and self-adjointness conditions which are entirely analogous to the regular case. As an application, a new and explicit formula for the Green function of the classical Legendre problem is found.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 1 , February 2012 , pp. 171 - 198
- Copyright
- Copyright © Royal Society of Edinburgh 2012
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