Quantizations on the Engel and the Cartan groups

zbMath1470.35454arXiv2003.10744MaRDI QIDQ5001455

Marianna Chatzakou

Publication date: 19 July 2021

Full work available at URL: https://arxiv.org/abs/2003.10744

zbMATH Keywords

difference operatorsEngel groupquantization formulaCartan group

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Analysis on real and complex Lie groups (22E30) Hypoelliptic equations (35H10) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items

Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case ⋮ The heat equation with singular potentials. II: Hypoelliptic case ⋮ Spectral summability for the quartic oscillator with applications to the Engel group ⋮ Geometric Hardy inequalities on starshaped sets ⋮ \(q\)-Poincaré inequalities on Carnot groups with filiform type Lie algebra ⋮ On a class of anharmonic oscillators ⋮ Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case ⋮ A note on spectral multipliers on Engel and Cartan groups

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