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Titlebook: Coherent States, Wavelets and Their Generalizations; Syed Twareque Ali,Jean-Pierre Antoine,Jean-Pierre Textbook 20001st edition Springer

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Square Integrable and Holomorphic Kernels,ly in this chapter. Recall from the discussion in Chapter 2 that the family of canonical CS arise from a reproducing kernel Hilbert space of square integrable functions, and, indeed, they may also be associated to a space of analytic functions (the Bargmann space).
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Wavelets Related to Other Groups, approach is clearly necessary. A solution has been proposed in [176], with several ad hoc assumptions. It turns out that the general formalism developed in this book yields an elegant solution to the problem [39] and, in particular, allows one to derive all assumptions of [176].
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Textbook 20001st editiony the writing of yet another book? In an overpopulated world, should parents feel compelled to justify bringing forth yet another child? Perhaps not! But an act of creation is also an act of love, and a love story can always be happily shared. In writing this book, it has been our feeling that, in a
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https://doi.org/10.1007/978-1-4615-0713-0s, of course, but also nuclear, atomic, and solid-state physics, quantum electrodynamics (the infrared problem), quantization and dequantization problems and path integrals, just to mention a few. It has been said, even convincingly [191], that “coherent states are the natural language of quantum theory!”
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Shubhodeep Chakrabarti,Cornelius Schwarzave train in acoustics. In such cases, a 3-D wavelet analysis is likely to yield a deeper understanding [57]. The same comment is valid for the applications of the WT in quantum physics (quantum mechanics, atomic physics, solid-state physics, etc.). A good reference for the latter is the survey volume [Be2].
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