Polynomial and horizontally polynomial functions on Lie groups

DOI10.1007/s10231-022-01192-zOpenAlexW3110607287WikidataQ115384998 ScholiaQ115384998MaRDI QIDQ2082714

Enrico Le Donne, Gioacchino Antonelli

Publication date: 4 October 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13665

zbMATH Keywords

nilpotent Lie groupspolynomial mapshorizontally affine functionsLeibman polynomialpolynomial on groupsprecisely monotone sets

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Operations and polynomials in algebraic structures, primal algebras (08A40) Analysis on other specific Lie groups (43A80) Sub-Riemannian geometry (53C17)

Related Items (5)

Homogeneous algebras via heat kernel estimates ⋮ Schrödinger operators on Lie groups with purely discrete spectrum ⋮ Horizontally affine functions on step-2 Carnot algebras ⋮ Jet spaces over Carnot groups ⋮ Precisely monotone sets in step-2 rank-3 Carnot algebras

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