The $L^p$-Fourier transform on locally compact quantum groups
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Publication:4918129
DOI10.7900/jot.2010aug22.1949zbMath1313.43003arXiv1008.2603OpenAlexW2963884695MaRDI QIDQ4918129
Publication date: 6 May 2013
Published in: Journal of Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.2603
Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Analysis on other specific Lie groups (43A80)
Related Items (16)
Polynomial growth of discrete quantum groups, topological dimension of the dual and *-regularity of the Fourier algebra ⋮ Quantum Fourier analysis ⋮ Hardy-Littlewood inequalities on compact quantum groups of Kac type ⋮ Weak amenability of locally compact quantum groups and approximation properties of extended quantum \(\mathrm{SU}(1,1)\) ⋮ An inequality for the convolutions on unimodular locally compact groups and the optimal constant of Young's inequality ⋮ \(L_p\)-\(L_q\) Fourier multipliers on locally compact quantum groups ⋮ Local and multilinear noncommutative de Leeuw theorems ⋮ A theorem for random Fourier series on compact quantum groups ⋮ Uncertainty principles for locally compact quantum groups ⋮ Extremal pairs of Young's inequality for Kac algebras ⋮ Gradient forms and strong solidity of free quantum groups ⋮ Lacunary Fourier series for compact quantum groups ⋮ Uncertainty principles for Kac algebras ⋮ Minimizers of the entropic uncertainty principle for locally compact quantum groups ⋮ The Hausdorff-Young inequality on Lie groups ⋮ BMO spaces of $\sigma $-finite von Neumann algebras and Fourier–Schur multipliers on ${\rm SU}_q(2)$
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