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On the symmetrized cones in test function algebra

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Publication:762733
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DOI10.1016/0034-4877(80)90091-9zbMath0558.46038OpenAlexW2021626116MaRDI QIDQ762733

Witold Karwowski

Publication date: 1980

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(80)90091-9

zbMATH Keywords

symmetrizationEuclidean fieldsEuclidean functionalsfunctionals on the algebra of test functionssharp conessymmetrized conesT-positivityWightman theory


Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Miscellaneous applications of functional analysis (46N99)




Cites Work

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  • Integral representations for Schwinger functionals and the moment problem over nuclear spaces
  • Euclidean field theory. I: The moment problem
  • Necessary and sufficient conditions for integral representations of Wightman functional at Schwinger points
  • From Euclidean to relativistic fields and on the notion of Markoff fields
  • On positive functionals on algebras of test functions for quantum fields
  • The field algebra and its positive linear functionals
  • Construction of quantum fields from Markoff fields
  • On structure of the algebra of field operators
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