1 citations · 2 across the 14 of their papers we have counts for
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Gundy's decomposition for non-commutative martingales and applications
Javier Parcet, Narcisse Randrianantoanina
We provide an analogue of Gundy's decomposition for L1-bounded non-commutative martingales. An important difference from the classical case is that for any L1-bounded non-commutati…
Almost unimodular systems on compact groups with disjoint spectra
Javier Parcet
We emulate the Rademacher functions on any non-commutative compact group requiring the resulting system to have pairwise disjoint spectra.
Laplacian operators and Radon transforms on Grassmann graphs
J. M. Marco, J. Parcet
Let be a vector space over a finite field with q elements. Let G denote the general linear group of endomorphisms of and let us consider the left regular representation $ρ:…
The norm of sums of independent noncommutative random variables in
Marius Junge, Javier Parcet
We investigate the norm of sums of independent vector-valued random variables in noncommutative Lp spaces. This allows us to obtain a uniform family of complete embeddings of the S…
A new approach to the theory of classical hypergeometric polynomials
José Manuel Marco, Javier Parcet
In this paper we present a unified approach to the spectral analysis of an hypergeometric type operator whose eigenfunctions include the classical orthogonal polynomials. We write…