Integral representations for Schwinger functionals and the moment problem over nuclear spaces

DOI10.1007/BF02345023zbMath0307.46054OpenAlexW2050265658MaRDI QIDQ1218131

Jakob Yngvason, Hans-Jürgen Borchers

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1007/bf02345023

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Miscellaneous applications of functional analysis (46N99) Representations of commutative topological algebras (46J25)

Related Items (21)

Algebras of unbounded operators in quantum field theory ⋮ Projective limit techniques for the infinite dimensional moment problem ⋮ Quasi-analyticity and Determinacy of the Full Moment Problem from Finite to Infinite Dimensions ⋮ Moment problem in infinitely many variables ⋮ Decomposition of positive functionals of commutative *-algebras ⋮ Probabilistic aspects of quantum field theory ⋮ On analytic vectors for unitary representations of infinite dimensional Lie groups ⋮ CONVOLUTED GENERALIZED WHITE NOISE, SCHWINGER FUNCTIONS AND THEIR ANALYTIC CONTINUATION TO WIGHTMAN FUNCTIONS ⋮ Translationally invariant states and the spectrum ideal in the algebra of test functions for quantum fields ⋮ Infinite dimensional moment problem: open questions and applications ⋮ The full moment problem on subsets of probabilities and point configurations ⋮ 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 ⋮ Moment problem for symmetric algebras of locally convex spaces ⋮ Selfadjoint extension operators commuting with an algebra ⋮ Positivity of Wightman functionals and the existence of local nets ⋮ On the decomposition of Wightman functionals in the Euclidean framework ⋮ Op\({}^*\)- and \(C^*\)-dynamical systems. I. Structural parallels ⋮ Op\({}^*\) and \(C^*\) dynamical systems. II. Structural differences: Borchers anomaly ⋮ On the symmetrized cones in test function algebra ⋮ Unnamed Item

Cites Work

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• On the algebra of field operators. The weak commutant and integral decompositions of states
• On the structure of the algebra of field operators. II
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators

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