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arXiv · 2401.00557

Sobolev spaces on hypergroups Gelfand pairs

Ky T. Bataka·Murphy E. Egwe·Yaogan Mensah
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Abstract

This paper introduces Sobolev spaces over Gelfand pairs in the framework of hypergroups. The Sobolev spaces in question are constructed from the Fourier transform on hypergroup Gelfand pairs. Mainly, the paper focuses on the investigation of Sobolev embedding results.

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BibTeXRIS

Ky T. Bataka, Murphy E. Egwe, Yaogan Mensah. 2023-12-31. Sobolev spaces on hypergroups Gelfand pairs. https://arxiv.org/abs/2401.00557

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