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A note on semi-groups of unbounded self-adjoint operators


Author: A. Devinatz
Journal: Proc. Amer. Math. Soc. 5 (1954), 101-102
MSC: Primary 46.3X
DOI: https://doi.org/10.1090/S0002-9939-1954-0060153-6
MathSciNet review: 0060153
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References [Enhancements On Off] (What's this?)

  • [1] S. Bochner, Completely monotone functions in partially ordereds paces, Duke Math. J. vol. 9 (1942) pp. 519-526. MR 0008120 (4:247g)
  • [2] A. Devinatz, Integral representations of positive definite functions, Trans. Amer. Math. Soc. vol. 74 (1953) pp. 56-77. MR 0052691 (14:659c)
  • [3] E. Hille, Notes on linear transformations. II. Analyticity of semi-groups, Ann. of Math. (2) vol. 40 (1939) pp. 1-47. MR 1503446
  • [4] B. v. Sz. Nagy, Bedingungen für die Multiplikationstabelle eines in sich abgeschlossenen orthogonalen Funktionensystems, Annali di Pisa vol. 6 (1937) pp. 211-224. MR 1556790
  • [5] -, Spektraldarstellung linear Transformationen des Hilbertschen Raumes, Ergebnisse der Mathematik und ihrer Grenzgebiete, no. 5, 1942.

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DOI: https://doi.org/10.1090/S0002-9939-1954-0060153-6
Article copyright: © Copyright 1954 American Mathematical Society

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