2017arXiv (Cornell University)Open access

Uniformly bounded representations of SL2R

Francesca Astengo, Michael Cowling, Bianca Di Blasio

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Abstract

We compute the "norm" of irreducible uniformly bounded representations of SL2R. We show that the Kunze-Stein version of the uniformly bounded representations has minimal norm in the similarity class of uniformly bounded representations.

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We compute the "norm" of irreducible uniformly bounded representations of SL2R. We show that the Kunze-Stein version of the uniformly bounded representations has minimal norm in the similarity class of uniformly bounded representations.

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Available abstract

We compute the "norm" of irreducible uniformly bounded representations of SL2R. We show that the Kunze-Stein version of the uniformly bounded representations has minimal norm in the similarity class of uniformly bounded representations.

Key concepts: Bounded function, Uniform boundedness, Mathematics, Norm (philosophy), Similarity (geometry), Pure mathematics, Class (philosophy), Bounded operator

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