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SOBOLEV SPACES ARISING FROM A GENERALIZED SPHERICAL FOURIER TRANSFORM

Yaogan Mensah

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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