Gårding Domains and Analytic Vectors for Quantum Fields

DOI10.1063/1.1666057zbMath0239.46030OpenAlexW2092318083MaRDI QIDQ5651218

Gerhard C. Hegerfeldt

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1063/1.1666057

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) Miscellaneous applications of functional analysis (46N99)

Related Items (11)

A Gårding domain for representations of the canonical commutation relations ⋮ Quadratic representations of the canonical commutation relations ⋮ On differentiable vectors for representations of infinite dimensional Lie groups ⋮ Families of commuting self-adjoint operators ⋮ On analytic vectors for unitary representations of infinite dimensional Lie groups ⋮ An application of the projective spectral theorem to commuting families of operators ⋮ Probability measures on distribution spaces and quantum field theoretical models ⋮ Two mathematical problems of canonical quantization. I ⋮ A Garding domain for representations of some Hilbert Lie groups ⋮ A Garding domain and entire vectors for inductive limits of locally compact Abelian groups ⋮ Differentiable measures and the Malliavin calculus

Cites Work

• Analytic vectors
• The form of representations of the canonical commutation relations for Bose fields and connection with finetely many degrees of freedom
• A Gårding domain for quantum fields
• Metrics on test function spaces for canonical field operators
• Measures on infinite dimensional vector spaces
• Note on Continuous Representations of Lie Groups
• REPRESENTATIONS OF THE COMMUTATION RELATIONS

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