MAXIMAL SEMIGROUP SYMMETRY AND DISCRETE RIESZ TRANSFORMS

DOI10.1017/S144678871500049XzbMath1345.42008OpenAlexW2333958433MaRDI QIDQ2800022

Fumihiro Sato, Andreas Nilsson, Toshiyuki Kobayashi

Publication date: 14 April 2016

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144678871500049x

zbMATH Keywords

Hilbert transformmultipliersFourier seriestranslation invariant operatorsemigroup representationdiscrete Riesz transformsHasse-Minkowski principlemaximal semigroup symmetry

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) Semisimple Lie groups and their representations (22E46) Harmonic analysis in several variables (42B99)

Cites Work

• Unnamed Item
• Unnamed Item
• Group invariance and \(L^p\)-bounded operators
• Rational points on the unit sphere
• Indefinite higher Riesz transforms
• Sur les multiplicateurs des similitudes
• Theory of prehomogeneous vector spaces (algebraic part)—the English translation of Sato’s lecture from Shintani’s note

This page was built for publication: MAXIMAL SEMIGROUP SYMMETRY AND DISCRETE RIESZ TRANSFORMS