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Titlebook: Coherent States, Wavelets, and Their Generalizations; Syed Twareque Ali,Jean-Pierre Antoine,Jean-Pierre Book 2014Latest edition Springer

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楼主: Covenant
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Sensorische Anfallsdetektion bei Epilepsie-Klauder-Toeplitz quantization, and more generally coherent states quantization are particular (and mostly manageable) cases of this approach, and we work out some illuminating examples of them. We particularly insist on the probabilistic aspects appearing at each stage of our quantization procedure.
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Sensorische Anfallsdetektion bei Epilepsieinuous wavelet transform (CWT) in 1-D. Starting from the beginning, we rewrite the general CS formalism for the case at hand, that is, the connected affine group of the line. We discuss the basic properties, the interpretation of the CWT as a phase space representation and some examples, with emphasis on a recent application to NMR spectroscopy.
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Theoretical and Mathematical Physicshttp://image.papertrans.cn/c/image/229226.jpg
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Canonical Coherent States, in the 1960s for the description of coherent light (lasers). We discuss successively the minimal uncertainty problem, the group-theoretical background of CS, their functional analytic properties and the geometrical context, both in the real and in the complex formulation. We conclude with some simple examples.
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Positive Operator-Valued Measures and Frames,start with continuous frames and introduce two generalizations, called upper, resp. lower, semi-frames, for which only the upper, resp. lower, frame bound is satisfied. Then we turn to the more familiar discrete frames and their generalizations.
发表于 2025-3-28 09:45:04 | 显示全部楼层
Integral Quantization,-Klauder-Toeplitz quantization, and more generally coherent states quantization are particular (and mostly manageable) cases of this approach, and we work out some illuminating examples of them. We particularly insist on the probabilistic aspects appearing at each stage of our quantization procedure.
发表于 2025-3-28 11:41:26 | 显示全部楼层
Wavelets,inuous wavelet transform (CWT) in 1-D. Starting from the beginning, we rewrite the general CS formalism for the case at hand, that is, the connected affine group of the line. We discuss the basic properties, the interpretation of the CWT as a phase space representation and some examples, with emphasis on a recent application to NMR spectroscopy.
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