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C-Bimeasures Λ and their superior integrals Λ

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References

  1. Bourbaki, N., vol. XIII,Intégration, Hermann and Cie., Paris.

  2. Bourbaki, N., vol. XVI,Topologie générale, Fascicule de résultats.

  3. Bourbaki, N., vol. II,Topologie générale, Deuxième édition.

  4. Morse, M., and Transue, W.,Semi-normed vector spaces with duals of integral type, Journal d’Analyse Mathématique vol. IV (1955).

  5. Fréchet, M.,Sur les fonctionnelles bilinéaires, Trans. Amer. Math. Soc., 16 (1915) 215–254.

    Article  MathSciNet  Google Scholar 

  6. Morse, M., and Transue, W.,A calculus for Fréchet variations, Journal Indian Math. Soc., 14 (1950) 69–117.

    MathSciNet  Google Scholar 

  7. Morse, M., and Transue, W.,The generalized Fréchet variation and Riesz-Young-Hausdorff type theorems, Rendiconti del Circolo Matematico di Palermo, Serie II, tomo II (1953) 1–31.

    MathSciNet  Google Scholar 

  8. Morse, M., and Transue, W.,Contributions to Fourier Analysis, Annals of Math. Study No 25, Princeton University Press.

  9. Banach, S.,Théorie des opérations linéaires, Warsaw, 1932.

  10. Morse, M., and Transue, W.,Functionals of bounded Fréchet variation, Canadian Jour. of Math., 1 (1949) 153–165.

    MATH  MathSciNet  Google Scholar 

  11. Morse, M., and Transue, W.,Functionals F bilinear over the product A×B of two p-normed vector spaces, 1., The representation of F., Annals of Math. 50 (1949) 777–815.

    Article  MathSciNet  Google Scholar 

  12. Clarkson, J., and Adams,On definitions of bounded variation, for functions of two variables, Trans. Amer. Math. Soc., 35, (1933) 824–854.

    Article  MATH  MathSciNet  Google Scholar 

  13. Morse, M.,Bimeasures and their integral extensions, Published in a volume dedicated to M. Picone (1955) Rome, Italy.

  14. Morse, M., and Transue, W.,The representation of a C-bimeasure on a general rectangle, Proc. Nat’l Acad. Scs., 41 (1955).

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Authors and Affiliations

  1. Princeton

    Marston Morse

  2. Gambier

    William Transue

Authors
  1. Marston Morse
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  2. William Transue
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Additional information

The work of Dr. Transue on this paper was sponsored by the Office of Ordnance Research, U. S. Army, under Contract No. DA-33-019-ORD-1265.

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Morse, M., Transue, W. C-Bimeasures Λ and their superior integrals Λ. Rend. Circ. Mat. Palermo 4, 270–300 (1955). https://doi.org/10.1007/BF02854200

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