Hyperfunction quantum field theory II. Euclidean Green's functions

DOI10.1007/BF01608731zbMath0333.46027OpenAlexW2082435107MaRDI QIDQ1228785

N. Mugibayashi, Shigeaki Nagamachi

Publication date: 1976

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01608731

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Miscellaneous applications of functional analysis (46N99)

Related Items (12)

Towards Euclidean theory of infrared singular quantum fields ⋮ Hyperfunction quantum field theory: Basic structural results ⋮ Ultradistributions and quantum fields: Fourier-Laplace transforms and boundary values of analytic functions ⋮ The Haag-Ruelle formulation of scattering in hyperfunction quantum field theory ⋮ The theory of vector valued Fourier hyperfunctions of mixed type. I ⋮ Hyperfunction quantum field theory: Analytic structure, modular aspects, and local observable algebras ⋮ Quantum field theory in terms of Fourier hyperfunctions ⋮ How can local properties be described in field theories without strict locality? ⋮ Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals ⋮ Spaces of type \(S\) as topological algebras under twisted convolution and star product ⋮ HIDA DISTRIBUTION CONSTRUCTION OF NON-GAUSSIAN REFLECTION POSITIVE GENERALIZED RANDOM FIELDS ⋮ Euclidean Green functions for quantum Fainberg-Iofa fields

Cites Work

• Axioms for Euclidean Green's functions. II
• Hyperfunction quantum field theory
• Axioms for Euclidean Green's functions
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
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