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S. M. Nikol'skii, Approximation of Functions of Many Variables and Imbedding Theorems [in Russian], Nauka, Moscow (1969).
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Sh. A. Alimov, “Decomposability of continuous functions from the Sobolev classes with respect to eigenfunctions of the Laplacian,” Sibirsk. Mat. Zh.,19, No. 4, 721–734 (1978).
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Translated from Matematicheskie Zametki, Vol. 47, No. 2, pp. 3–7, February, 1990.
The author expresses sincere thanks to Professor Sh. A. Alimov for discussions of the results of the paper
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Ashurov, R.R. Decomposability of continuous functions from Nikol'skii classes into multiple fourier integrals. Mathematical Notes of the Academy of Sciences of the USSR 47, 107–110 (1990). https://doi.org/10.1007/BF01156817
- Continuous Function
- Fourier Integral
- Skii Class
- Multiple Fourier Integral