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http://dx.doi.org/10.4134/BKMS.2011.48.5.1003

CONVOLUTIONS OF WHITE NOISE OPERATORS  

Ji, Un-Cig (Department of Mathematics Research Institute of Mathematical Finance Chungbuk National University)
Kim, Young-Yi (Department of Mathematics Chungbuk National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 1003-1014 More about this Journal
Abstract
Motivated by the convolution product of white noise functionals, we introduce a new notion of convolution products of white noise operators. Then we study several interesting relations between the convolution products and the quantum generalized Fourier-Mehler transforms, and study a quantum-classical correspondence.
Keywords
white noise operator; Wick product; convolution; quantum generalized Fourier-Mehler transform;
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