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Spectral Theory for the Differential Equation Lu= λ Mu

Published online by Cambridge University Press:  20 November 2018

Fred Brauer
Fred Brauer*
Affiliation:
University of Chicago
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Let L and M be linear ordinary differential operators defined on an interval I, not necessarily bounded, of the real line. We wish to consider the expansion of arbitrary functions in eigenfunctions of the differential equation Lu = λMu on I. The case where M is the identity operator and L has a self-adjoint realization as an operator in the Hilbert space L2(I) has been treated in various ways by several authors; an extensive bibliography may be found in (4) or (8).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 10 , 1958 , pp. 431 - 446
Copyright
Copyright © Canadian Mathematical Society 1958

References

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