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Boundary conditions and the Cayley transform

Published online by Cambridge University Press:  14 November 2011

Z. Zahreddine
Z. Zahreddine
Affiliation:
Westfield College, University of London, Hampstead, London NW3, U.K.
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Synopsis

Self-adjoint operators in L2(0, 1) associated with a formally symmetric differential operator regular in [0, 1] can be determined by boundary conditions or as extensions of the minimal operator. These extensions are determined by extensions of the Cayley transform of the minimal operator. This paper establishes an explicit expression for the extension of the Cayley transform in terms of the boundary conditions and vice versa.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 103 , Issue 1-2 , 1986 , pp. 129 - 136
Copyright
Copyright © Royal Society of Edinburgh 1986

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References

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