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- W3137842600 abstract "In this paper we investigate the spectra and the ergodic properties of the multiplication operators and the convolution operators acting on the Schwartz space $mathcal{S}(mathbb{R})$ of rapidly decreasing functions, i.e., operators of the form $M_h: mathcal{S}(mathbb{R})tomathcal{S}(mathbb{R})$, $f mapsto h f $, and $C_Tcolon mathcal{S}(mathbb{R})tomathcal{S}(mathbb{R})$, $fmapsto Tstar f$. Precisely, we determine their spectra and characterize when those operators are power bounded and mean ergodic." @default.
- W3137842600 created "2021-03-29" @default.
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- W3137842600 date "2021-03-24" @default.
- W3137842600 modified "2023-09-27" @default.
- W3137842600 title "Spectra and ergodic properties of multiplication and convolution operators on the space $mathcal{S}(mathbb{R})$" @default.
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