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A representation theorem for certain nonlinear functionals

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Bibliography

  1. Hahn, O., & A. Rosenthal, Set Functions. Alberquerque, New Mexico: University of New Mexico Press 1948.

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  2. Hirschman, I. I., & D. V. Widder, The Convolution Transform. Princeton, N. J.: Princeton University Press 1955.

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  3. Mizel, V. J., Inequalities of Variational Type. Archive for Rational Mechanics and Analysis (to appear).

  4. Riesz, F., Sur les Opérations Fonctionnelles Linéaires. Comptes Rendus Acad. Sci. Paris 149, 974–977 (1909).

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Authors and Affiliations

  1. RIAS, Baltimore, Maryland

    A. D. Martin & V. J. Mizel

  2. Carnegie Institute of Technology, Pittsburgh

    A. D. Martin & V. J. Mizel

Authors
  1. A. D. Martin
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  2. V. J. Mizel
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Additional information

Communicated by W. Noll

The work of A. D. Martin was supported in part by the United States Air Force through the Air Force Office of Scientific Research, Office of Aerospace Research, under contract No. AF 49(638)-382 and in part by the Office of Naval Research under contract Nonr-3693(00); that of V. J. Mizel, by the U. S. National Science Foundation grant G 23721.

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Martin, A.D., Mizel, V.J. A representation theorem for certain nonlinear functionals. Arch. Rational Mech. Anal. 15, 353–367 (1964). https://doi.org/10.1007/BF00256926

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  • DOI: https://doi.org/10.1007/BF00256926

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