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2022 Lineage of the Theory of Invariant Integrals on Groups
Takeshi Hirai
Geom. Integrability & Quantization 24: 1-37 (2022). DOI: 10.7546/giq-24-2022-1-37

Abstract

From the standpoint of the History of Mathematics, beginning with pioneering work of Hurwitz on invariant integrals (or invariant measures) on Lie groups, we pick up epoch-making works successively and draw the main stream among so many contributions to the study of invariant integrals on groups, due to Hurwitz, Schur, Weyl, Haar, Neumann, Kakutani, Weil, and Kakutani-Kodaira, and explain their contents and give the relationships among them.

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Takeshi Hirai. "Lineage of the Theory of Invariant Integrals on Groups." Geom. Integrability & Quantization 24 1 - 37, 2022. https://doi.org/10.7546/giq-24-2022-1-37

Information

Published: 2022
First available in Project Euclid: 17 August 2022

Digital Object Identifier: 10.7546/giq-24-2022-1-37

Rights: Copyright © 2022 Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy

JOURNAL ARTICLE
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