Sobolev spaces on hypergroups Gelfand pairs

Published 31 Dec 2023 in math.FA | (2401.00557v1)

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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