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Spectral theory of ordinary differential operators

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Part of the Lecture Notes in Mathematics book series (LNM,volume 448)

Keywords

  • Hilbert Space
  • Bounded Variation
  • Symmetric Operator
  • Selfadjoint Operator
  • Minimal Operator

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Some References to Recent Work

  1. E. A. Coddington, Extension theory of formally normal and symmetric subspaces, Mem. Amer. Math. Soc. No. 134 (1973).

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  2. E. A. Coddington, Selfadjoint subspace extensions of nondensely defined symmetric operators, Bull. Amer. Math. Soc. 79 (1973), 712–715; complete version with proofs to appear in Advances in Math.

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  3. E. A. Coddington, Eigenfunction expansions for nondensely defined operators generated by symmetric ordinary differential expressions, Bull. Amer. Math. Soc. 79 (1973), 964–968; complete version will appear in Advances in Math. under the title: Selfadjoint problems for nondensely defined ordinary differential operators and their eigenfunction expansions.

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  4. E. A. Coddington and A. Dijksma, Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces, to appear.

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  5. A. Dijksma and H. S. V. de Snoo, Eigenfunction expansions for nondensely defined differential operators, to appear in J. Diff. Equations.

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  6. A. M. Krall, Differential-boundary operators, Trans. Amer. Math. Soc. 154 (1971), 429–458.

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  7. O. Vejvoda and M. Tvrdý, Existence of solutions to a linear integro-boundary-differential equation with additional conditions, Ann. di Mat. Pura ed Appl. (Ser. 4) 89 (1971), 169–216.

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  8. H. J. Zimmerberg, Linear integro-differential-boundary-parameter problems, to appear in Ann. di Mat. Pura ed Appl.

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© 1975 Springer-Verlag

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Coddington, E.A. (1975). Spectral theory of ordinary differential operators. In: Everitt, W.N. (eds) Spectral Theory and Differential Equations. Lecture Notes in Mathematics, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067079

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  • DOI: https://doi.org/10.1007/BFb0067079

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07150-1

  • Online ISBN: 978-3-540-37444-2

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