This self-contained introduction discusses the evolution of the
notion of coherent states, from the early works of Schr?dinger to
the most recent advances, including signal analysis. An integrated
and modern approach to the utility of coherent states in many
different branches of physics, it strikes a balance between
mathematical and physical descriptions.
Split into two parts, the first introduces readers to the most
familiar coherent states, their origin, their construction, and
their application and relevance to various selected domains of
physics. Part II, mostly based on recent original results, is
devoted to the question of quantization of various sets through
coherent states, and shows the link to procedures in signal
analysis.
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