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Continuation of functions of several variables with preservation of differential-difference properties

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Literature cited

  1. S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theorems [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  2. O. V. Besov, “Continuation of functions beyond the limits of a domain with preservation of the differential-difference properties in Lp,-” Mat. Sb.,66, No. 1, 80–96 (1965).

    Google Scholar 

  3. Yu. A. Brudnyi, “Continuation theorem for a family of functional spaces,” J. Sov. Mat.,14, 2 (1980).

    Google Scholar 

  4. V. I. Burenkov, “On continuation of functions with preservation of seminorm,” Dokl, Akad. Nauk SSSR,228, No. 4, 779–782 (1976).

    Google Scholar 

  5. H. Jones and K. Scherer, “On the equivalence of the K-functional and moduli of continuity,” Lect. Notes,571, 119–140 (1977).

    Google Scholar 

  6. Yu. A. Brudnyi, “Continuation of a function while preserving the order of decrease of the modulus of continuity,” in: Studies in Theory of Functions of Several Real Variables [in Russian], No. 2, Yaroslavl' Univ. (1978), pp. 33–39.

  7. V. N. Konovalov, “Approximation of functions of several variables with preservation of differential-difference properties,” Ukr. Mat. Zh.,36, No. 2, 154–159 (1984).

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  8. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press (1971).

  9. V. N. Konovalov, Differential Properties and Approximation of Functions of Several Variables [in Russian], Kiev (1979). (Preprint, Akad. Nauk Ukr. SSR, Inst. Mat.)

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 3, pp. 304–308, May–June, 1984.

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Konovalov, V.N. Continuation of functions of several variables with preservation of differential-difference properties. Ukr Math J 36, 273–277 (1984). https://doi.org/10.1007/BF01077460

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  • DOI: https://doi.org/10.1007/BF01077460

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