Generalized Bargmann functions, their growth and von Neumann lattices

Physics – Quantum Physics

Scientific paper

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9 pages, changes with respect to previous version: typos removed, improved presentation

Scientific paper

Generalized Bargmann representations which are based on generalized coherent
states are considered. The growth of the corresponding analytic functions in
the complex plane is studied. Results about the overcompleteness or
undercompleteness of discrete sets of these generalized coherent states are
given. Several examples are discussed in detail.

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