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This is a short description of some results obtained by Ewa Damek, Andrzej Hulanicki, Richard Penney and Jacek Zienkiewicz. They belong to harmonic analysis on a class of solvable Lie groups called NA. We apply our results to analysis on classical Siegel domains.

Estimates for the Poisson kernels and their derivatives on rank one NA groups

Ewa Damek, Andrzej Hulanicki, Jacek Zienkiewicz (1997)

Studia Mathematica

For rank one solvable Lie groups of the type NA estimates for the Poisson kernels and their derivatives are obtained. The results give estimates on the Poisson kernel and its derivatives in a natural parametrization of the Poisson boundary (minus one point) of a general homogeneous, simply connected manifold of negative curvature.

On montre que la fonction maximale de Hardy-Littlewood est de type $(p, p)$ sur certains groupes de Lie et variétés de Cartan-Hadamard.

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Erratum : “On the supercuspidal representations of ${GL}_{N}, N$ the product of two primes”

Erratum “Pure extensions of locally compact abelian groups” [Rend. Sem. Mat. Univ. Padova 116 (2006), 31–40]

Erratum to "On convolution operators with small support which are far from being convolution by a bounded measure" (Colloq. Math. 67 (1994), 33-60)

Erratum to “On free topological algebras”

Erratum to the paper "Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle".

Erratum: “Weil representation and beta-extensions” by Corinne Blondel, volume 62.4 (2012), pp. 1319-1366.

Errors in elements of compact semigroups.

Espaces de Poisson des groupes de Lie

Espaces symétriques de Drinfeld et correspondance de Langlands locale

Estimates for derivatives of the Green functions on homogeneous manifolds of negative curvature.

Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature.

Estimates for the Poisson kernel on higher rank NA groups

Estimates for the Poisson kernels and a Fatou type theorem applications to analysis on Siegel domains

Estimates for the Poisson kernels and their derivatives on rank one NA groups

Estimates from Below for Lebesgue Constants of Fourier Series on Compact Lie Groups.

Estimating Norms in C*-Algebras of Discrete Groups.

Estimations de la fonction maximale de Hardy-Littlewood

États cohérents, théorie spectrale et représentations de groupes nilpotents

Étude de certaines représentations induites d'un groupe de Lie résoluble exponentiel

Etude de la 1-cohomologie et de la topologie du dual pour les groupes de Lie à radical Abelian.

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