Abstract
We obtain an integral representation of functions of
real variables which can be considered (at least formally) as some analog of the Fourier formula.
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Literature cited
V. P. Il'in, “On conditions for the validity of the inequalities between the-norms of the partial derivatives of functions of several variables,” Tr. MIAN,96, 205–242 (1968).
A. Zygmund, Trigonometric Series, Vol. II, Cambridge Univ. Press (1959).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 47, pp. 67–72, 1974.
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Il'in, V.P. An integral representation of functions. J Math Sci 9, 183–188 (1978). https://doi.org/10.1007/BF01578542
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DOI: https://doi.org/10.1007/BF01578542