Convergence of the spectral decomposition of a function from the class $W_{p,m}^1 (G),\; p > 1$, in the vector eigenfunctions of a differential operator of the third order

We consider, a third-order differential operator with matrix coefficients. The absolute and uniform convergence of the orthogonal expansion of a vector function from the class $W_{p,m}^1 (G),\; p > 1$, in the vector eigenfunctions of this operator is studied and the rate of uniform convergenc...

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Datum:2017
Hauptverfasser: Abbasova, Yu. G., Kurbanov, V. M., Аббасова, Ю. Г., Курбанов, В. М.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1731
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal