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

Manoj Kumar; N. Shravan Kumar

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arXiv · 1906.10349

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

Manoj Kumar·N. Shravan Kumar

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Abstract

Let $G$ be a compact group (not necessarily abelian) and let $Φ$ be a Young function satisfying the $Δ_2$-condition. We determine the optimal domain and the associated extended operator for both Fourier transform and the convolution operator defined on the Orlicz spaces $L^Φ(G).$

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BibTeX RIS

Manoj Kumar, N. Shravan Kumar. 2019-06-25. Optimal extension of the Fourier transform and convolution operator on compact groups. https://arxiv.org/abs/1906.10349

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