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Clarkson-Erdős theorem for many variables

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Abstract

In the present paper, the Clarkson-Erdős, which complements the well-known Müntz theorem, is extended to the case of many variables.

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References

  1. J. Clarkson and P. Erdős, “Approximation by polynomials,”Duke Math. Pures Appl.,14, 403–453 (1935).

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  4. S. G. Merzlyakov, “A Runge-type theorem for invariant subspaces of analytic mappings,”Isv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Isv. Math.],59, No. 2, 163–178 (1995).

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Authors and Affiliations

  1. Institute of Mathematics, The Ural Division of the Russian Academy of Sciences, Ufa

    S. G. Merzlyakov

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  1. S. G. Merzlyakov
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Translated fromMatematicheskie Zametki, Vol. 65, No. 4, pp. 594–598, April, 1999.

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Merzlyakov, S.G. Clarkson-Erdős theorem for many variables. Math Notes 65, 496–499 (1999). https://doi.org/10.1007/BF02675364

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  • DOI: https://doi.org/10.1007/BF02675364

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