Factorization property of convolutions of white noise operators

Un Cig Ji (), Young Yi Kim () and Yoon Jung Park ()
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Un Cig Ji: Research Institute of Mathematical Finance, Chungbuk National University
Young Yi Kim: Hanyang University
Yoon Jung Park: Chungbuk National University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 4, 463-476

Abstract: Abstract We first study a general type of convolutions, parameterized by operators, on white noise functionals and study a relation between the convolution and the generalized Fourier-Mehler transform. Secondly, we extend the convolution of generalized white noise functionals to a convolution of white noise operators. Then, as factorization properties of the convolutions, we study a relation between the convolution and quantum generalized Fourier-Mehler transform.

Keywords: White noise operator; convolution; quantum generalized Fourier-Mehler transform (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0146-3

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