Summary
The object of this paper is to motivate three papers byM. Morse andW. Transue, which will presently appear, where the Authors will lay the foundations of a general theory of C-bimeasures and their integral extensions.
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M. Fréchet,Sur les fonctionnelles bilinéaires, « Trans. Amer. Math. Soc. », vol. 16 (1915), 215–234.
M. Morse andW. Transue,Functionals of bounded Fréchet vartations, « Canadian Journal of Math. », vol. 1 (1949), 153–165.
N. Bourbaki,Intégration, vol. XIII, Paris, France.
N. Bourbaki,Topologie Générale, vol. II, Deuxième édition, Paris, France.
M. Morse andW. Transue,The Fréchet variation and a generalization for multiple Fourier series of the Jordan Test, « Rivista di Matematica della Università di Parma », vol. 1 (1950), 1–16.
M. Morse andW. Transue,The generalized Fréchet variation and Riesz-Young-Hausdorff-type theorems, serie II, vol. 11 (1953), 1–31.
M. Morse andW. Transue,A calculus for Fréchet variations, « Journal of Indian Math. Soc. », vol. XIV, Nos. 2 and 3 (1950), 65–117.
M. Morse andW. Transue,Contributions to Fourier analysis. The Fréchet variation and Pringsheim convergence of double Fourier series, pp. 46–105, « Annals of Math. Study », No. 35, Princeton University Press (1950).
S. Banach,Théorie des opérations linéaires, Warsaw (1932).
P. R. Halmos,Measure Theory, D. van Nostrand Co., Inc., New York (1950).
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To Mauro Picone on his 70th birth day.
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Morse, M. Bimeasures and their integral extensions. Annali di Matematica 39, 345–356 (1955). https://doi.org/10.1007/BF02410778
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DOI: https://doi.org/10.1007/BF02410778