English

Representation of maxitive measures: an overview

Functional Analysis 2017-03-31 v2

Abstract

Idempotent integration is an analogue of Lebesgue integration where σ\sigma-maxitive measures replace σ\sigma-additive measures. In addition to reviewing and unifying several Radon--Nikodym like theorems proven in the literature for the idempotent integral, we also prove new results of the same kind.

Keywords

Cite

@article{arxiv.1405.2238,
  title  = {Representation of maxitive measures: an overview},
  author = {Paul Poncet},
  journal= {arXiv preprint arXiv:1405.2238},
  year   = {2017}
}

Comments

40 pages

R2 v1 2026-06-22T04:10:07.430Z