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Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold

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 نشر من قبل Murach Aleksandr
 تاريخ النشر 2007
  مجال البحث
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We study a system of pseudodifferential equations that is elliptic in the sense of Petrovskii on a closed compact smooth manifold. We prove that the operator generated by the system is Fredholm one on a refined two-sided scale of the functional Hilbert spaces. Elements of this scale are the special isotropic spaces of H{o}rmander--Volevich--Paneah.



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