On the Fourier spectrum of functions on Boolean cubes

DOI10.1007/s00208-018-1756-yzbMath1481.94165arXiv1706.03670OpenAlexW2964279128WikidataQ129195260 ScholiaQ129195260MaRDI QIDQ2423426

Yanyan Li

Publication date: 21 June 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03670

zbMATH Keywords

Boolean functionspolynomial inequalitiesFourier analysis on groups

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Boolean functions (94D10)

Related Items (7)

The Hardy-Littlewood Inequalities in Sequence Spaces ⋮ Decoupling inequalities with exponential constants ⋮ Quantum Talagrand, KKL and Friedgut's theorems and the learnability of quantum Boolean functions ⋮ VARIANTS OF A MULTIPLIER THEOREM OF KISLYAKOV ⋮ Unifying presampling via concentration bounds ⋮ Hausdorff–Young-type inequalities for vector-valued Dirichlet series ⋮ Mixed Bohr radius in several variables

Cites Work

• The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
• On the real polynomial Bohnenblust-Hille inequality
• Bohnenblust-Hille inequalities for Lorentz spaces via interpolation
• The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
• Decoupling inequalities for polynomial chaos
• Bohr's phenomenon for functions on the Boolean cube
• On the Fourier tails of bounded functions over the discrete cube
• Some applications of hypercontractive inequalities in quantum information theory
• Metrics Associated with Extremal Plurisubharmonic Functions
• Analysis of Boolean Functions
• Polynomial bounds for decoupling, with applications
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