Constructing Fourier transforms on the quantum \(E(2)\)-group

DOI10.1023/B:ALGE.0000026845.01180.1DzbMath1051.43001MaRDI QIDQ1878305

Jeroen Noels

Publication date: 19 August 2004

Published in: Algebras and Representation Theory (Search for Journal in Brave)

zbMATH Keywords

Fourier transformquantum groupPlancherel formulaquantum planegroup duality\(q\)-Hankel transformEuclidean motions\(q\)-Bessel function\(q\)-moment problem

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Other transforms and operators of Fourier type (43A32) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (1)

Elements of harmonic analysis related to the third basic zero order Bessel function

This page was built for publication: Constructing Fourier transforms on the quantum \(E(2)\)-group