Barker, L.2016-02-082016-02-0820030022-2488http://hdl.handle.net/11693/24510Affine canonical transforms, complex-order Fourier transforms, and their associated coherent states appear in two scenarios: finite-discrete and continuum. We examine the relationship between the two scenarios, making systematic use of inductive limits, which were developed in the preceding articles in this series. © 2003 American Institute of Physics.EnglishArticle10.1063/1.1557331