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].
Similar content being viewed by others
References
Coddington, E.A.: Generalized resolutions of the identity for symmetric ordinary differential operators, Ann. of Math. 68, 378–392 (1958).
Coddington, E.A.: Extension theory of formally normal and symmetric subspaces, to appear.
Coddington, E.A. and R.C. Gilbert: Generalized resolvents of ordinary differential operators, Trans. Amer. Math. Soc. 93, 216–241 (1959).
Dijksma, A. and H.S.V. de Snoo: On a class of singular S-hermitian eigenvalue problems, Report ZW-72-01, Rijksuniversiteit Groningen (1972).
Dijksma, A. and H.S.V. de Snoo: Symmetric subspaces related to certain eigenvalue problems, to appear.
Kodaira, K.: On ordinary differential equations of any even order and the corresponding eigenfunctionexpansions, Amer. J. Math. 72, 502–544 (1950).
Niessen, H.-D.: Singuläre S-hermitesche Rand-Eigenwertprobleme, manuscripta math. 3, 35–68 (1970).
Niessen, H.-D. und A. Schneider: Integraltransformationen zu singulären S-hermiteschen Rand-Eigenwertproblemen, manuscripta math. 5, 133–145 (1971).
Schneider, A.: Zum Entwicklungssatz bei reellen singulären Differentialgleichungssystemen, Arch. Math. 21, 192–197 (1970).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01475038