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The Spectral Resolution for Linear Hamiltonian Systems with Two Singular Points

  • Allan M. Krall
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 133)

Abstract

This chapter in large measure repeats the ideas and techniques of the previous chapter with but minor modifications due to the second singular point. Again we employ the setting due to Hinton and Shaw.

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References

  1. [1]
    F. V. Atkinson, Discrete and Continuous Boundary Value Problems, Academic Press, New York, 1964.Google Scholar
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    F. Brauer, Spectral theory for linear systems of differential equations, Pacific J. Math. 10 (1960), 17–34.MathSciNetzbMATHCrossRefGoogle Scholar
  3. [3]
    E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.zbMATHGoogle Scholar
  4. [4]
    D. B. Hinton and J. K. Shaw, Titchmarsh’s X-dependent boundary conditions for Hamiltonian systems, Lecture Notes in Mathematics, Vol. 964, Springer-Verlag, Berlin, 1982, 318–326.Google Scholar
  5. [5]
    J. K. Shaw —, Hamiltonian systems of limit-point or limit circle type with both endpoints singular, J. Diff. Eq. 50 (1983), 444–464.MathSciNetzbMATHCrossRefGoogle Scholar
  6. [6]
    A. M. Krall, Applied Analysis, D. Reidel, Dordrecht, Netherlands, 1987.Google Scholar

Copyright information

© Springer Basel AG 2002

Authors and Affiliations

  • Allan M. Krall
    • 1
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA

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