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Continuum quantum systems as limits of discrete quantum systems. IV. Affine canonical transforms

Continuum quantum systems as limits of discrete quantum systems. IV. Affine canonical transforms

Affine 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.