Quantum Field Theory in Terms of Fourier Hyperfunctions

  • Shigeaki Nagamachi

    Tokushima University, Tokushima-City, Japan
  • Nobumichi Mugibayashi

    Kobe University, Japan


The Wightman axioms are extended to the quantum field theory in terms of Fourier hyperfunctions. The support concept of hyperfunctions is crucial for the formulation of locality and spectral condition. The complete equivalence is proved between modified Wightman axioms for relativistic theory and modified Osterwalder-Schrader axioms for Euclidean theory.

Cite this article

Shigeaki Nagamachi, Nobumichi Mugibayashi, Quantum Field Theory in Terms of Fourier Hyperfunctions. Publ. Res. Inst. Math. Sci. 12 (1976), no. 99, pp. 309–341

DOI 10.2977/PRIMS/1195196611