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On the deficiency indices of powers of formally symmetric differential expressions

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

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References

  1. Chaudhuri, Jyoti and Everitt, W.N.: On the square of a formally self-adjoint differential expression. J. London Math. Soc. (2) 1 (1969) 661–673

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations. McGraw-Hill, New York and London, 1955.

    MATH  Google Scholar 

  3. Dunford, N. and Schwartz, J.T.: Linear operators; Part II: Spectral theory. Interscience, New York, 1963.

    MATH  Google Scholar 

  4. Everitt, W. N. and Giertz, M.: On some properties of the powers of a formally self-adjoint differential expression. Proc. London Math. Soc. (3) 24 (1972) 149–170.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Everitt, W. N. and Giertz, M.: On the integrable-square classification of ordinary symmetric differential expressions. (to appear in J. Lond. Math. Soc.).

    Google Scholar 

  6. Everitt, W. N. and Giertz, M.: Examples concerning the integrable-square classification of ordinary symmetric differential expressions (to appear).

    Google Scholar 

  7. Kauffman, R. M.: Polynomials and the limit point condition. (To appear in Trans. Amer. Math. Soc.)

    Google Scholar 

  8. Kumar, Krishna V.: A criterion for a formally symmetric fourth-order differential expression to be in the limit-2 case at ∞. J. London Math. Soc., (2) 8 (1974).

    Google Scholar 

  9. Naimark, M. A.: Linear differential operators; Part II. Ungar, New York, 1968.

    MATH  Google Scholar 

  10. Read, T.T.: On the limit point condition for polynomials in a second order differential expression. Chalmers University of Technology and the University of Göteborg, Department of Mathematics No. 1974-13.

    Google Scholar 

  11. Weyl, H.: Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen. Math. Annalen 68 (1910) 220–269.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. Zettl, A.: The limit point and limit circle cases for polynomials in a differential operator. (To appear in Proc. Royal Soc. Edinburgh.)

    Google Scholar 

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© 1975 Springer-Verlag

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Everitt, W.N., Giertz, M. (1975). On the deficiency indices of powers of formally symmetric differential expressions. In: Everitt, W.N. (eds) Spectral Theory and Differential Equations. Lecture Notes in Mathematics, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067086

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  • DOI: https://doi.org/10.1007/BFb0067086

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  • Print ISBN: 978-3-540-07150-1

  • Online ISBN: 978-3-540-37444-2

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