Publications of the Research Institute for Mathematical Sciences

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Volume 12, Issue 99, 1976, pp. 309–341
DOI: 10.2977/prims/1195196611

Published online: 1976-12-31

Quantum Field Theory in Terms of Fourier Hyperfunctions

Shigeaki Nagamachi[1] and Nobumichi Mugibayashi[2]

(1) Tokushima University, Tokushima-City, Japan
(2) 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.

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Nagamachi Shigeaki, Mugibayashi Nobumichi: Quantum Field Theory in Terms of Fourier Hyperfunctions. Publ. Res. Inst. Math. Sci. 12 (1976), 309-341. doi: 10.2977/prims/1195196611