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Certain imbedding theorems for spaces of periodic functions of infinite order

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Literature cited

  1. Yu. A. Dubinskii, “Limits of Banach spaces. Imbedding theorems. Applications to infinite order Sobolev spaces,” Mat. Sb.,110 (152), No. 3, 428–439 (1979).

    Google Scholar 

  2. G. S. Balashova, “On certain imbedding theorems for spaces of infinitely differentiable functions,” Dokl. Akad. Nauk SSSR,247, No. 6, 1301–1304 (1979).

    Google Scholar 

  3. G. S. Balashova, “On imbedding theorems for spaces of infinitely differentiable functions,” Mat. Zametki,35, No. 4, 505–516 (1984).

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  4. G. S. Balashova, “Equations of infinite order with subordinate terms, and imbedding theorems,” Differents. Uravn.,20, No. 12, 2076–2087 (1984).

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  5. Yu. A. Dubinskii, “The nontriviality of Sobolev spaces of infinite order in the case of a complete Euclidean space and the torus,” Mat. Sb.,100 (142), No. 3, 436–446 (1976).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 43, No. 4, pp. 509–517, April, 1988.

In conclusion, the author expresses his gratitude to Chan Dyk Van for his interest in the paper.

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Bang, K.Z. Certain imbedding theorems for spaces of periodic functions of infinite order. Mathematical Notes of the Academy of Sciences of the USSR 43, 293–298 (1988). https://doi.org/10.1007/BF01139134

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  • DOI: https://doi.org/10.1007/BF01139134

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