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The domain of application of quantization methods is traditionally restrictedto smooth classical observables. We show that the coherent states or"anti-Wick" quantization enables us to construct fairly reasonable quantumversions of irregular observables living on the classical phase space, such asthe angle function, the time function of a free particle and even a large setof distributions comprising the tempered distributions.

Coherent state quantization of angle, time, and more irregular functions and distributions