Abstract

AbstractThe purpose of this note is to compare the properties of the symbolic pseudo-differential calculus on the Heisenberg and on the Engel groups; nilpotent Lie groups of 2-step and 3-step, respectively. Here we provide a preliminary analysis of the structure and of the symbolic calculus with symbols parametrized by (λ, μ) on the Engel group, while for the case of the Heisenberg group we recall the analogous results on the λ-classes of symbols.KeywordsEngel groupQuantizationClasses of symbols

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