Reproducing Kernels in Coherent States, Wavelets, and Quantization

Syed Twareque Ali ()
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Syed Twareque Ali: Concordia University, Department of Mathematics and Statistics

Chapter 6 in Operator Theory, 2015, pp 111-125 from Springer

Abstract: 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.

Keywords: Hilbert Space; Coherent State; Toeplitz Operator; Mother Wavelet; Continuous Wavelet (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0667-1_63

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DOI: 10.1007/978-3-0348-0667-1_63

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