On the structure of representations of continuous functions of several variables as finite sums of continuous functions of one variable
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- by David A. Sprecher
- Proc. Amer. Math. Soc. 17 (1966), 98-105
- DOI: https://doi.org/10.1090/S0002-9939-1966-0194565-5
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References
- Salomon Bochner, Lectures on Fourier integrals. With an author’s supplement on monotonic functions, Stieltjes integrals, and harmonic analysis, Annals of Mathematics Studies, No. 42, Princeton University Press, Princeton, N.J., 1959. Translated by Morris Tenenbaum and Harry Pollard. MR 0107124
- A. N. Kolmogorov, On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition, Dokl. Akad. Nauk SSSR 114 (1957), 953–956 (Russian). MR 0111809
- Alexander Ostrowski, Über Dirichletsche Reihen und algebraische Differentialgleichungen, Math. Z. 8 (1920), no. 3-4, 241–298 (German). MR 1544442, DOI 10.1007/BF01206530 G. Pólya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Problems 119-119(a), 2nd ed., Springer-Verlag, Berlin, 1954, pp. 61-62, 220-223.
- David A. Sprecher, On the structure of continuous functions of several variables, Trans. Amer. Math. Soc. 115 (1965), 340–355. MR 210852, DOI 10.1090/S0002-9947-1965-0210852-X
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 98-105
- MSC: Primary 26.55
- DOI: https://doi.org/10.1090/S0002-9939-1966-0194565-5
- MathSciNet review: 0194565