Bull. Korean Math. Soc. 2011; 48(5): 1003-1014
Printed September 1, 2011
https://doi.org/10.4134/BKMS.2011.48.5.1003
Copyright © The Korean Mathematical Society.
Un Cig Ji and Young Yi Kim
Chungbuk National University, Chungbuk National University
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
MSC numbers: Primary 60H40; Secondary 46F25
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