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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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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
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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