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Factorization property of convolutions of white noise operators

Author

Listed:
  • Un Cig Ji

    (Research Institute of Mathematical Finance, Chungbuk National University)

  • Young Yi Kim

    (Hanyang University)

  • Yoon Jung Park

    (Chungbuk National University)

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.

Suggested Citation

  • Un Cig Ji & Young Yi Kim & Yoon Jung Park, 2015. "Factorization property of convolutions of white noise operators," Indian Journal of Pure and Applied Mathematics, Springer, vol. 46(4), pages 463-476, August.
    • Handle: RePEc:spr:indpam:v:46:y:2015:i:4:d:10.1007_s13226-015-0146-3
    DOI: 10.1007/s13226-015-0146-3
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