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The Spectral Resolution for Linear Hamiltonian Systems with Two Singular Points

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Hilbert Space, Boundary Value Problems and Orthogonal Polynomials

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 133))

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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. F. V. Atkinson, Discrete and Continuous Boundary Value Problems, Academic Press, New York, 1964.

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  2. F. Brauer, Spectral theory for linear systems of differential equations, Pacific J. Math. 10 (1960), 17–34.

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  3. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.

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  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.

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  5. J. K. Shaw —, Hamiltonian systems of limit-point or limit circle type with both endpoints singular, J. Diff. Eq. 50 (1983), 444–464.

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  6. A. M. Krall, Applied Analysis, D. Reidel, Dordrecht, Netherlands, 1987.

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© 2002 Springer Basel AG

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Krall, A.M. (2002). The Spectral Resolution for Linear Hamiltonian Systems with Two Singular Points. In: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials. Operator Theory: Advances and Applications, vol 133. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8155-5_11

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  • DOI: https://doi.org/10.1007/978-3-0348-8155-5_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9459-3

  • Online ISBN: 978-3-0348-8155-5

  • eBook Packages: Springer Book Archive

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