Lacunary Fourier series for compact quantum groups

DOI10.1007/S00220-016-2670-3zbMath1364.43005arXiv1507.01219OpenAlexW3103119688MaRDI QIDQ512319

Simeng Wang

Publication date: 24 February 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01219

zbMATH Keywords

Fourier multiplierSidon setcompact quantum groupinterpolation set\(\Lambda (p)\)-setcentral Sidon setnon-commutative \(L^p\) space

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Quantum groups (quantized function algebras) and their representations (20G42) Noncommutative function spaces (46L52) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (9)

Polynomial growth of discrete quantum groups, topological dimension of the dual and *-regularity of the Fourier algebra ⋮ On the Sobolev embedding properties for compact matrix quantum groups of Kac type ⋮ Hardy-Littlewood inequalities on compact quantum groups of Kac type ⋮ Entropic uncertainty relations under localizations on discrete quantum groups ⋮ Strong Haagerup inequalities on non-Kac free orthogonal quantum groups ⋮ A theorem for random Fourier series on compact quantum groups ⋮ Completely Sidon sets in \(C^*\)-algebras ⋮ Paley's inequality for discrete groups ⋮ A Non-abelian, Non-Sidon, Completely Bounded Set

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