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Multiparameter spectral theory of singular differential operators

Published online by Cambridge University Press:  20 January 2009

B. P. Rynne
B. P. Rynne
Affiliation:
Department of MathematicsUniversity of YorkHeslingtonYork YO1 5DD
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In this paper we investigate certain aspects of the multiparameter spectral theory of systems of singular ordinary differential operators. Such systems arise in various contexts. For instance, separation of variables for a partial differential equation on an unbounded domain leads to a multiparameter system of ordinary differential equations, some of which are defined on unbounded intervals. The spectral theory of systems of regular differential operators has been studied in many recent papers, e.g. [1, 3, 6, 9, 19, 21], but the singular case has not received so much attention. Some references for the singular case are [7, 8, 10, 13, 14, 18, 20], in addition general multiparameter spectral theory for self adjoint operators is discussed in [3, 9, 19].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 1 , February 1988 , pp. 49 - 66
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

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