arXiv:1906.10349 Abstract | arXiv Analytics

arXiv:1906.10349 [math.FA]Abstract References Reviews Resources

Optimal extension of the Fourier transform and convolution operator on compact groups

Published 2019-06-25Version 1

Let $G$ be a compact group (not necessarily abelian) and let $\Phi$ be a Young function satisfying the $\Delta_2$-condition. We determine the optimal domain and the associated extended operator for both Fourier transform and the convolution operator defined on the Orlicz spaces $L^\Phi(G).$

Categories: math.FA

Subjects: 43A15, 43A30, 46G10

Keywords: fourier transform, convolution operator, compact group, optimal extension, optimal domain

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