Kalnins, Ernie G.Miller, W., Jr.2008-11-032008-11-031973-10Kalnins, E.G. & Miller, W., Jr. (1973). The relativistically invariant expansion of a scalar function on imaginary Lobachevski space. Journal of Mathematical Physics, 14, 1316.0022-2488https://hdl.handle.net/10289/1250Using the previous analysis of Gel'fand and Graev a new relativistically invariant expansion of a scalar function on three-dimensional imaginary Lobachevski space L3(I) is given. The coordinate system used corresponds to the horospherical reduction SO(3,1) E2 SO(2) and covers all of L3(I).application/pdfenCopyright 1973 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jspMathematicsJournal Article10.1063/1.1666183