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A class of symmetric ordinary differential operators whose deficiency numbers differ by an integer†
Published online by Cambridge University Press: 14 November 2011
Synopsis
Formulas are determined for the deficiency numbers of a formally symmetric ordinary differential operator with complex coefficients which have asymptotic expansions of a prescribed type on a half-axis. An implication of these formulas is that for any given positive integer there exists a formally symmetric ordinary differential operator whose deficiency numbers differ by that positive integer.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 82 , Issue 1-2 , 1978 , pp. 117 - 134
- Copyright
- Copyright © Royal Society of Edinburgh 1978
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