Usage of convolution for the proof of unicellularity
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIII, Tome 135 (1984), pp. 66-68

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Using the compactness of appropriate convolution operators some weighted shift operators are proved to be unicellular and cyclic vectors of the integration operator are described.
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     author = {M. T. Karaev},
     title = {Usage of convolution for the proof of unicellularity},
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M. T. Karaev. Usage of convolution for the proof of unicellularity. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIII, Tome 135 (1984), pp. 66-68. http://geodesic.mathdoc.fr/item/ZNSL_1984_135_a4/