Harmonic analysis on the Möbius gyrogroup

DOI10.1007/s00041-014-9370-1zbMath1312.43006OpenAlexW2004607957MaRDI QIDQ2342169

Milton Ferreira

Publication date: 11 May 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10400.8/3803

zbMATH Keywords

spherical functionsHelgason-Fourier transformMöbius gyrogroupdiffusive waveletseigenfunctions of the Laplace-Beltrami-operatorhyperbolic convolution

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis on homogeneous spaces (43A85) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (8)

Fuzzy gyronorms on gyrogroups ⋮ Quaternion hyperbolic Fourier transforms and uncertainty principles ⋮ Hyperbolic linear canonical transforms of quaternion signals and uncertainty ⋮ The Hartman-Mycielski construction in topological gyrogroups ⋮ On Metric Structures of Normed Gyrogroups ⋮ Complete regularity of paratopological gyrogroups ⋮ On paratopological gyrogroups ⋮ Gyrogroup actions: a generalization of group actions

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