Communications in Mathematical Physics

, Volume 46, Issue 2, pp 119–134 | Cite as

Hyperfunction quantum field theory

  • S. Nagamachi
  • N. Mugibayashi


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.


Neural Network Fourier Statistical Physic Field Theory Complex System 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • S. Nagamachi
    • 1
  • N. Mugibayashi
    • 2
  1. 1.Department of Mathematics, Faculty of EngineeringTokushima UniversityTokushimaJapan
  2. 2.Department of Electrical EngineeringKobe UniversityKobeJapan

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