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24.—On the Question of the Deficiency Indices of Differential Operators with Complex Coefficients*

Published online by Cambridge University Press:  14 February 2012

V. I. Kogan  and
F. S. Rofe-Beketov
V. I. Kogan
Affiliation:
Kharkov, USSR.
F. S. Rofe-Beketov
Affiliation:
Kharkov, USSR.
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Extract

As is well known, the deficiency indices of the minimal symmetric differential operator of even order 2m with real coefficients on the half-line lie within the limits m and 2m, and are equal. I. M. Glazman [6] first showed, by examples, that for such operators the deficiency indices can actually take all the intermediate values m ≦ P ≦ 2m. Subsequently fresh examples of operators with real coefficients, whose deficiency indices take all possible values, were constructed by various authors (S. A. Orlov [11], M. V. Fedoryuk [4], and others).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 72 , Issue 4 , 1975 , pp. 281 - 298
Copyright
Copyright © Royal Society of Edinburgh 1975

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References

References to Literature

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