Convex valuations invariant under the lorentz group

Semyon Alesker; Dmitry Faifman

doi:10.4310/jdg/1406552249

Convex valuations invariant under the lorentz group

Semyon Alesker, Dmitry Faifman

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We give an explicit classification of translation-invariant, Lorentzinvariant continuous valuations on convex sets. We also classify the Lorentz-invariant even generalized valuations.

Original language	English
Pages (from-to)	183-236
Number of pages	54
Journal	Journal of Differential Geometry
Volume	98
Issue number	2
DOIs	https://doi.org/10.4310/jdg/1406552249
State	Published - Oct 2014

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology

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title = "Convex valuations invariant under the lorentz group",

abstract = "We give an explicit classification of translation-invariant, Lorentzinvariant continuous valuations on convex sets. We also classify the Lorentz-invariant even generalized valuations.",

author = "Semyon Alesker and Dmitry Faifman",

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SP - 183

EP - 236

JO - Journal of Differential Geometry

JF - Journal of Differential Geometry

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Convex valuations invariant under the lorentz group

Abstract

All Science Journal Classification (ASJC) codes

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