Generalized resolvents of ordinary differential operators
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- by Earl A. Coddington and Richard C. Gilbert PDF
- Trans. Amer. Math. Soc. 93 (1959), 216-241 Request permission
References
- N. I. Achieser and I. M. Glasmann, Theorie der linearen Operatoren im Hilbert-Raum, Akademie-Verlag, Berlin, 1954 (German). MR 0066560
- N. Bourbaki, Eléments de mathématique. XV. Première partie: Les structures fondamentales de l’analyse. Livre V: Espaces vectoriels topologiques. Chapitre I: Espaces vectoriels topologiques sur un corps valué. Chapitre II: Ensembles convexes et espaces localement convexes, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1189, Hermann & Cie, Paris, 1953 (French). MR 0054161
- Earl A. Coddington, On maximal symmetric ordinary differential operators, Math. Scand. 4 (1956), 22–28. MR 84748, DOI 10.7146/math.scand.a-10452
- Earl A. Coddington, Generalized resolutions of the identity for closed symmetric ordinary differential operators, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 638–642. MR 84749, DOI 10.1073/pnas.42.9.638
- Earl A. Coddington, Generalized resolutions of the identity for symmetric ordinary differential operators, Ann. of Math. (2) 68 (1958), 378–392. MR 103319, DOI 10.2307/1970253
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373
- N. Levinson, Transform and inverse transform expansions for singular self-adjoint differential operators, Illinois J. Math. 2 (1958), 224–235. MR 96850
- M. Neumark, Spectral functions of a symmetric operator, Bull. Acad. Sci. URSS. Sér. Math. [Izvestia Akad. Nauk SSSR] 4 (1940), 277–318 (Russian, with English summary). MR 0002714
- M. A. Neumark, Extremal spectral functions of a symmetric operator, Bull. Acad. Sci. URSS. Sér. Math. [Izvestia Akad. Nauk SSSR] 11 (1947), 327–344 (Russian, with English summary). MR 0024062
- A. V. Štraus, Generalized resolvents of symmetric operators, Izvestiya Akad. Nauk SSSR. Ser. Mat. 18 (1954), 51–86 (Russian). MR 0062954
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 93 (1959), 216-241
- MSC: Primary 47.60; Secondary 34.30
- DOI: https://doi.org/10.1090/S0002-9947-1959-0163192-9
- MathSciNet review: 0163192