Titlebook: Approximation of Functions of Several Variables and Imbedding Theorems; Sergei Mihailovic Nikol’skii Book 1975 Springer-Verlag • Berlin •

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The Liouville Classes , ,We shall denote the Liouville classes by .(ℝ.) (. ≧ 0, ., . = .(ℝ.)) in the isotropic case and by .(ℝ.) in the anisotropic case.

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https://doi.org/10.1007/978-3-662-42624-1)$ and numbers .′, .″, satisfying the inequalities (2) $$p_l {mathop

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https://doi.org/10.1007/978-3-662-38353-7ell-known formula. $$matrix{overline{(1+mid xmid^2)^{-r/2}}={1over (2pi)^{n/2}}int {e^{iuxi}dxiover (1+mid xi mid^2)^{r/2}}cr ={1over{mid umid^{{n-r}over 2}}}{mathopintlimits_0^infty}{varrho^{n/2}over (1+varrho^2)^{r/2}}I_{{n-2}over 2}(mid umidvarrho)dvarrho,}$$ where . is the Bessel Function of ord

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Approximation of Functions of Several Variables and Imbedding Theorems978-3-642-65711-5Series ISSN 0072-7830 Series E-ISSN 2196-9701

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0072-7830 Overview: 978-3-642-65713-9978-3-642-65711-5Series ISSN 0072-7830 Series E-ISSN 2196-9701

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