Bibliography
Auerbach, H.: Sur les dérivées géneralisées. Fundamenta Math.8, 49–55 (1926).
Graves, L. M.: The theory of functions of real variables. New York: McGraw-Hill 1956.
Marcinkiewicz, J.: Sur les séries de Fourier. Fundamenta Math.27, 38–69 (1936).
Neugebauer, C. J.: Symmetric, continuous, and smooth functions. Duke Math. J. (to appear).
Saks, S.: Theory of the integral. Warszawa-Lwow 1937.
Stein, E. M., andA. Zygmund: Smoothness and differentiability of functions. Ann. Univ. Sci. Budapest, vol. III–IV, 295–307 (1960–61).
Weiss, M., andA. Zygmund: A note on smooth functions. Koninkl. Ned. Akad. Wetenschap.62, 52–58 (1959).
Zygmund, A.: Smooth functions. Duke Math. J.12, 47–76 (1945).
—— Trigonometric series. Second Ed., vol. I–II. Cambridge: University Press 1959.
Calderon, A. P., andA. Zygmund: Singular integrals and periodic functions. Studia Mathematica14, 249–271 (1954).
Stein, E. M., andA. Zygmund: On the differentiability of functions (to appear).
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Supported by NSF Grant G-18920. This paper was written while the author was a member of the Institute for Advanced Study, Princeton, N. J.
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Neugebauer, C.J. Symmetric and smooth functions of several variables. Math. Ann. 153, 285–292 (1964). https://doi.org/10.1007/BF01362418
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DOI: https://doi.org/10.1007/BF01362418