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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2015, Issue 2(23), Pages 75–82 (Mi pfmt378)  
MATHEMATICS

On reducibility of the weighted composition operators

Teube Cyrille Mbainaissem, Serine Alou Lo, Moussa Ould Ahmed Salem

University Cheikh Anta Diop de Dakar, Dakar, Senegal
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Abstract: The question under consideration is reduction of a weighted composition operator to an operator with invariant coefficient by Liapunov transformation. Topological obstruction to be reducible is described in the case of periodic mapping generating operator. Explicit form of the corresponding Liapunov transformation is given.
Keywords: weighted composition operator, Liapunov transformation, Cauchy index, reducibility, homological equation.
Received: 14.02.2015
Document Type: Article
UDC: 517.984
Language: Russian
Citation: Teube Cyrille Mbainaissem, Serine Alou Lo, Moussa Ould Ahmed Salem, “On reducibility of the weighted composition operators”, PFMT, 2015, no. 2(23), 75–82
Citation in format AMSBIB
\Bibitem{MbaLoSal15}
\by Teube~Cyrille~Mbainaissem, Serine~Alou~Lo, Moussa~Ould~Ahmed~Salem
\paper On reducibility of the weighted composition operators
\jour PFMT
\yr 2015
\issue 2(23)
\pages 75--82
\mathnet{http://mi.mathnet.ru/pfmt378}
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