Abstract noncommutative Fourier series on \(\Gamma\setminus SE(2)\)

DOI10.4310/PAMQ.2022.V18.N1.A3zbMath1492.43001OpenAlexW4210988139MaRDI QIDQ2074850

Arash Ghaani Farashahi, Gregory S. Chirikjian

Publication date: 11 February 2022

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/pamq.2022.v18.n1.a3

zbMATH Keywords

discrete subgroupcoset spacespecial Euclidean groupcrystallographic subgroupnon-commutative Fourier series

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Other geometric groups, including crystallographic groups (20H15) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

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