The completeness of sequences of generalized coherent states
Apostol Vourdas · Journal of Optics B Quantum and Semiclassical Optics · 2003
Analytic representations based on generalized coherent states are studied. The growth of the analytic functions is intimately connected to the completeness of the sequences of these generalized coherent states. The least density that such sequences must have in order to be overcomplete is calculated. The results generalize known results on the completeness of von Neumann lattices for the standard coherent states to other sets of coherent states.