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10.—Generalisation of Some Statements by Kodaira

Published online by Cambridge University Press:  14 February 2012

Christer Bennewitz
Christer Bennewitz
Affiliation:
Department of Mathematics, University of Uppsala, Sweden.
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Synopsis

This paper presents a generalisation of earlier results on the dimension of the space of integrable-square solutions of the ordinary linear differential equation Su = λTu, where S and T are formally symmetric ordinary differential operators and λ is a spectral parameter.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 71 , Issue 2 , 1973 , pp. 113 - 119
Copyright
Copyright © Royal Society of Edinburgh 1973

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References

References to Literature

[1]Everitt, W. N., 1959. Integrable-square solutions of ordinary differential equations. Q. Jl Math., 10, 145–155.Google Scholar
[2]Kimura, T. and Takahasi, M., 1965. Sur les opérateurs différentiels ordinaires linéaires formellement autoadjoints I. Funkcialoj Ekvacioj, Ser. Int., 7, 35–90.Google Scholar
[3]Kodatra, K., 1950. On ordinary differential equations of any even order and the corresponding eigenfunction expansions. Am. J. Math., 72, 502–544.Google Scholar
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