Abstract.
The Poisson kernel over odd order cyclic groups and truncated to height two is studied for hypercontractivity. A relevant multiplier inequality is verified. The corresponding convolution operator maps into with norm one for all parameters and all integers l.
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(Received 26 April 2001)
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Andersson, M. Beitrag zur Theorie des Poissonschen Integrals über Endlichen Gruppen. Mh Math 134, 177–190 (2002). https://doi.org/10.1007/s605-002-8255-5
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DOI: https://doi.org/10.1007/s605-002-8255-5