We introduce a family of extremal polynomials associated with the prolongation of a stratified nilpotent Lie algebra. These polynomials are related to a new algebraic characterization of abnormal subriemannian geodesics in stratified nilpotent Lie groups. They satisfy a set of remarkable structure relations that are used to integrate the adjoint equations.

Extremal polynomials in stratified groups / Enrico, Le Donne; Leonardi, Gian Paolo; Roberto, Monti; Davide, Vittone. - In: COMMUNICATIONS IN ANALYSIS AND GEOMETRY. - ISSN 1019-8385. - ELETTRONICO. - 26:4(2018), pp. 723-757. [10.4310/CAG.2018.v26.n4.a3]

Extremal polynomials in stratified groups

LEONARDI, Gian Paolo;
2018

Abstract

We introduce a family of extremal polynomials associated with the prolongation of a stratified nilpotent Lie algebra. These polynomials are related to a new algebraic characterization of abnormal subriemannian geodesics in stratified nilpotent Lie groups. They satisfy a set of remarkable structure relations that are used to integrate the adjoint equations.
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Extremal polynomials in stratified groups / Enrico, Le Donne; Leonardi, Gian Paolo; Roberto, Monti; Davide, Vittone. - In: COMMUNICATIONS IN ANALYSIS AND GEOMETRY. - ISSN 1019-8385. - ELETTRONICO. - 26:4(2018), pp. 723-757. [10.4310/CAG.2018.v26.n4.a3]
Enrico, Le Donne; Leonardi, Gian Paolo; Roberto, Monti; Davide, Vittone
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/1060614
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