We provide an integral representation for continuous valua- tions defined on the space Lip(Sn−1) of Lipschitz continuous functions on the unit (n−1)-sphere, which are invariant under rotations and under the addition of linear functions restricted to the unit sphere (Λ-invariant).
A class of invariant valuations on $Lip(S^{n-1})$ / Andrea Colesanti, Daniele Pagnini, Pedro Tradacete, Ignacio Villanueva. - In: ADVANCES IN MATHEMATICS. - ISSN 1090-2082. - ELETTRONICO. - 366:(2020), pp. 1-37. [10.1016/j.aim.2020.107069]
A class of invariant valuations on $Lip(S^{n-1})$
Andrea Colesanti
;Daniele Pagnini;
2020
Abstract
We provide an integral representation for continuous valua- tions defined on the space Lip(Sn−1) of Lipschitz continuous functions on the unit (n−1)-sphere, which are invariant under rotations and under the addition of linear functions restricted to the unit sphere (Λ-invariant).
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