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Sobolev spaces and symbolic calculus

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Abstract

We use elementary theory of distributions and geometry of Euclidean spaces to obtain a theorem on the symbolic calculus of several variables in spaces of Fourier series with weights.

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References

  1. N. Leblanc,Les fonctions qui opèrent dans certains algèbres à poids, Math. Scand.25 (1969), 190–194.

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  2. E. M. Stein,Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970.

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Urbana, 61801, Champaign, Illinois, USA

    R. Kaufman

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  1. R. Kaufman
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Kaufman, R. Sobolev spaces and symbolic calculus. Israel J. Math. 35, 222–224 (1980). https://doi.org/10.1007/BF02761193

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  • DOI: https://doi.org/10.1007/BF02761193

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