The Herz-Schur multiplier norm of sets satisfying the Leinert condition
Éric Ricard, Ana-Maria Stan (2011)
Colloquium Mathematicae
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It is well known that in a free group , one has , where E is the set of all the generators. We show that the (completely) bounded multiplier norm of any set satisfying the Leinert condition depends only on its cardinality. Consequently, based on a result of Wysoczański, we obtain a formula for .