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Hinton and Shaw’s Extension 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 extends the results of the previous one to cover the situation that occurs when both a and b are singular points. The technique is similar. We restrict our attention to an interval (a′, b′) within (a, b), develop two M(λ) functions, one for generating L 2A solutions near a, one for generating L 2A solutions near b, by letting a′ → a, b′ → b.

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References

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Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA

    Allan M. Krall

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  1. Allan M. Krall
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© 2002 Springer Basel AG

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Krall, A.M. (2002). Hinton and Shaw’s Extension 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_8

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  • DOI: https://doi.org/10.1007/978-3-0348-8155-5_8

  • 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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