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Hyperfunction quantum field theory

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Abstract

The quantum field theory in terms of Fourier hyperfunctions is constructed. The test function space for hyperfunctions does not containC ∞ functions with compact support. In spite of this defect the support concept ofH-valued Fourier hyperfunctions allows to formulate the locality axiom for hyperfunction quantum field theory.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Engineering, Tokushima University, 770, Tokushima, Japan

    S. Nagamachi

  2. Department of Electrical Engineering, Kobe University, Rokkodai, 657, Kobe, Japan

    N. Mugibayashi

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  1. S. Nagamachi
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  2. N. Mugibayashi
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Communicated by A. S. Wightman

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Nagamachi, S., Mugibayashi, N. Hyperfunction quantum field theory. Commun.Math. Phys. 46, 119–134 (1976). https://doi.org/10.1007/BF01608492

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  • DOI: https://doi.org/10.1007/BF01608492

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