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Boson fock representations of stochastic processes

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Abstract

A classification theory of quantum stationary processes similar to the corresponding theory for classical stationary processes is presented. Our main result is the classification of those pairs of classical stationary processes that admit a joint boson Fock canonical representation.

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Authors and Affiliations

  1. Graduate School of Polymathematics, Nagoya University and Roma University Tor Vergata, Japan

    L. Accardi

  2. Faculty of Science and Technology, Meijo University, Japan

    T. Hida & W. W. Htay

Authors
  1. L. Accardi
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  2. T. Hida
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  3. W. W. Htay
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Additional information

Translated fromMatematicheskie Zametki, Vol. 67, No. 1, pp. 3–14, January, 2000.

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Accardi, L., Hida, T. & Htay, W.W. Boson fock representations of stochastic processes. Math Notes 67, 3–11 (2000). https://doi.org/10.1007/BF02675785

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  • DOI: https://doi.org/10.1007/BF02675785

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