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Integral transforms and a class of singular S-hermitian eigenvalue problems

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Abstract

For a class of singular S-hermitian eigenvalue problems we show that the corresponding integral transforms are surjective. This class is discussed in [4] and is more restricted than the one, which has been considered by Niessen and Schneider in [8].

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References

  1. Coddington, E.A.: Generalized resolutions of the identity for symmetric ordinary differential operators, Ann. of Math. 68, 378–392 (1958).

    Google Scholar 

  2. Coddington, E.A.: Extension theory of formally normal and symmetric subspaces, to appear.

  3. Coddington, E.A. and R.C. Gilbert: Generalized resolvents of ordinary differential operators, Trans. Amer. Math. Soc. 93, 216–241 (1959).

    Google Scholar 

  4. Dijksma, A. and H.S.V. de Snoo: On a class of singular S-hermitian eigenvalue problems, Report ZW-72-01, Rijksuniversiteit Groningen (1972).

  5. Dijksma, A. and H.S.V. de Snoo: Symmetric subspaces related to certain eigenvalue problems, to appear.

  6. Kodaira, K.: On ordinary differential equations of any even order and the corresponding eigenfunctionexpansions, Amer. J. Math. 72, 502–544 (1950).

    Google Scholar 

  7. Niessen, H.-D.: Singuläre S-hermitesche Rand-Eigenwertprobleme, manuscripta math. 3, 35–68 (1970).

    Google Scholar 

  8. Niessen, H.-D. und A. Schneider: Integraltransformationen zu singulären S-hermiteschen Rand-Eigenwertproblemen, manuscripta math. 5, 133–145 (1971).

    Google Scholar 

  9. Schneider, A.: Zum Entwicklungssatz bei reellen singulären Differentialgleichungssystemen, Arch. Math. 21, 192–197 (1970).

    Google Scholar 

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Dijksma, A., de Snoo, H.S.V. Integral transforms and a class of singular S-hermitian eigenvalue problems. Manuscripta Math 10, 129–139 (1973). https://doi.org/10.1007/BF01475038

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  • DOI: https://doi.org/10.1007/BF01475038

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