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SOBOLEV SPACES ON HYPERGROUP GELFAND PAIRS
Keywords:
hypergroup, Sobolev space, Sobolev embedding theorem, Fourier transformDOI:
https://doi.org/10.17654/097208712505Abstract
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.
Received: September 19, 2024
Accepted: November 9, 2024
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