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• W2898894401 abstract "We study the spectrum of operators in the Schwartz space of rapidly decreasing functions which associate each function with its composition with a polynomial. In the case where this operator is mean ergodic we prove that its spectrum reduces to 0, while the spectrum of any non mean ergodic composition operator with a polynomial always contains the closed unit disc except perhaps the origen. We obtain a complete description of the spectrum of the composition operator with a quadratic polynomial or a cubic polynomial with positive leading coefficient." @default.
• W2898894401 created "2018-11-09" @default.
• W2898894401 creator A5015470647 @default.
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• W2898894401 date "2018-10-31" @default.
• W2898894401 modified "2023-09-27" @default.
• W2898894401 title "Spectrum of composition operators on ${mathcal S}({mathbb R})$ with polynomial symbols" @default.
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• W2898894401 hasPublicationYear "2018" @default.
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