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Euler’s Theorem for Homogeneous White Noise Operators

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Abstract

In this paper we introduce a new notion of λ −order homogeneous operators on the nuclear algebra of white noise operators. Then, we give their Fock expansion in terms of quantum white noise (QWN) fields \(\{a_{t},\: a^{*}_{t}\, ; \; t\in \mathbb {R}\}\). The quantum extension of the scaling transform enables us to prove Euler’s theorem in quantum white noise setting.

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Authors and Affiliations

  1. Tunisia, Nabeul Preparatory Engineering Institute, Department of Mathematics, Carthage University, Campus Universitaire - Mrezgua, 8000, Nabeul, Tunisia

    Abdessatar Barhoumi

  2. Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 1060, Tunis, Tunisia

    Hafedh Rguigui

Authors
  1. Abdessatar Barhoumi
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  2. Hafedh Rguigui
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Correspondence to Hafedh Rguigui.

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Barhoumi, A., Rguigui, H. Euler’s Theorem for Homogeneous White Noise Operators. Math Phys Anal Geom 20, 12 (2017). https://doi.org/10.1007/s11040-017-9244-2

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  • DOI: https://doi.org/10.1007/s11040-017-9244-2

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