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On Λ() sets with minimal constant in discrete noncommutative groups

Marek Bożejko
- Vol. 51, Iss: 2, pp 407-412
TLDR
In this article, the minimal constants for infinite A(2n) sets in discrete noncommutative groups were computed and an alternate proof of Leinert's theorem on A(o) sets was obtained.
Abstract
We compute the minimal constants for infinite A(2n) sets in discrete noncommutative groups and as a consequence we obtain an alternate proof of Leinert's theorem on A(o) sets.

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Spherical functions and harmonic analysis on free groups

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Fourier analysis, Schur multipliers on $S^p$ and non-commutative Λ(p)-sets

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Computing norms of free operators with matrix coefficients

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Free Exponential Families as Kernel Families

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Journal ArticleDOI

Norm of convolution by operator-valued functions on free groups

TL;DR: In this paper, a connection between the Leinert sets and the noncrossing two-partitions is made, which is used to give a simple proof of the free Khintchine inequality in discrete non-commutative Lp-spaces.
References