SOBOLEV SPACES ARISING FROM A GENERALIZED SPHERICAL FOURIER TRANSFORM
Published: 10 July 2021
Advances in Mathematics: Scientific Journal , Volume 10, pp 2947-2955; https://doi.org/10.37418/amsj.10.7.3
Abstract: In this paper, we define Sobolev spaces on a locally compact unimodular group in link with the spherical Fourier transform of type $\delta$. Properties of these spaces are obtained. Analogues of Sobolev embedding theorems are proved.
Keywords: Sobolev / compact / delta / theorems / unimodular / Analogues / GENERALIZED SPHERICAL / SPACES ARISING
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