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Locally compact groups --- Lie groups --- Harmonic analysis --- Representations of groups --- Groupes localement compacts --- Groupes de Lie --- Analyse harmonique --- Représentations de groupes --- Locally compact groups. --- Lie groups. --- Harmonic analysis. --- Representations of groups. --- Représentations de groupes --- 517.9 --- 512.547 --- 512.547 Linear representations of abstract groups. Group characters --- Linear representations of abstract groups. Group characters --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Analytical spaces --- Lie, Algèbres de --- Lie algebras --- Lie, Algèbres de. --- Lie, Algèbres de --- Lie algebras. --- Groupes topologiques --- Algebres de banach --- Representation