Abstract
Reproducing kernels are a mathematical tool that is ubiquitous in many areas of theoretical and mathematical physics. Here we specialize the notion to show its applications to the theory of coherent states, coherent state and Berezin-Toeplitz quantization, and to the related theory of the continuous wavelet transform. The aim is to demonstrate the unifying mathematical aspect, given by the reproducing kernel, of these different theories.
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Ali, S.T. (2015). Reproducing Kernels in Coherent States, Wavelets, and Quantization. In: Alpay, D. (eds) Operator Theory. Springer, Basel. https://doi.org/10.1007/978-3-0348-0667-1_63
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DOI: https://doi.org/10.1007/978-3-0348-0667-1_63
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