Euclidean field theory. I: The moment problem

DOI10.1007/BF01609140zbMath0317.46059MaRDI QIDQ1221906

J. L. Challifour, Steven P. Slinker

Publication date: 1975

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

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) General theory of (C^*)-algebras (46L05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Miscellaneous applications of functional analysis (46N99)

Related Items (7)

Quasi-analyticity and Determinacy of the Full Moment Problem from Finite to Infinite Dimensions ⋮ Probabilistic aspects of quantum field theory ⋮ Translationally invariant states and the spectrum ideal in the algebra of test functions for quantum fields ⋮ Extremal decomposition of Wightman functions and of states on nuclear \(^*\)-algebras by Choquet theory ⋮ Necessary and sufficient conditions for integral representations of Wightman functional at Schwinger points ⋮ On the decomposition of Wightman functionals in the Euclidean framework ⋮ On the symmetrized cones in test function algebra

Cites Work

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• Tensor algebras over Hilbert spaces. II
• Axioms for Euclidean Green's functions
• Self-adjoint algebras of unbounded operators
• The field algebra and its positive linear functionals
• Construction of quantum fields from Markoff fields
• Axially Symmetric Stagnation-point Flow of an Electrically Conducting Fluid under Transverse Magnetic Field
• On structure of the algebra of field operators
• On the self-adjointness of field operators

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