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Expositio paper exp-20260623-9d9bca

On the existence and uniqueness of invariant measures on locally compact groups

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In this article, we show that locally compact groups have invariant measures, also known as Haar measures. We also show that such measures are unique up to scaling.

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exp-20260623-9d9bcav1 Latest public version Public since June 23, 2026 Submitted June 23, 2026 0 saves
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Simon Rubinstein-Salzedo (Kaleidoscope Circles)

Abstract

In this article, we show that locally compact groups have invariant measures, also known as Haar measures. We also show that such measures are unique up to scaling.

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Mathematics
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Measure and integration Set functions and measures on spaces with additional structure Set functions and measures on topological groups or semigroups, Haar measures, invariant measures

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exp-20260623-9d9bcav1

On the existence and uniqueness of invariant measures on locally compact groups

Preprint
Uploaded Jun 23, 2026 262333 bytes Selected Latest
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