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Pego theorem on
compact groups
Manoj Kumar |
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Vol. 328 (2024), No. 1, 137–143
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Abstract |
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The Pego theorem characterizes the precompact subsets of the square-integrable functions on via the Fourier transform. We prove the analogue of the Pego theorem on (not necessarily abelian) compact groups. |
Keywords
compact group, Fourier transform, compactness
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Mathematical Subject Classification
Primary: 43A30, 43A77
Secondary: 22C05
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Milestones
Received: 21 February 2023
Revised: 14 December 2023
Accepted: 2 March 2024
Published: 16 April 2024
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Authors |
| Manoj Kumar | |
| Department of Mathematics Indian Institute of Science Bangalore Bangalore India |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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