Singular operators on Boson fields as forms on spaces of entire functions on Hilbert space

DOI10.1016/0022-1236(91)90101-AzbMath0758.47053OpenAlexW1990915747MaRDI QIDQ1178616

S. Singh

Publication date: 26 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90101-a

zbMATH Keywords

integral representationentire functionkernelsWeyl operatorsscale spacesantientire functioncomplex wave representation for boson fieldsexponentiated boson fieldinvariant scalessingular and generalized operatorssymplectic operators on a single-particle Hilbert space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Applications of operator theory in the physical sciences (47N50) General mathematical topics and methods in quantum theory (81Q99)

Related Items (7)

CONVOLUTED GENERALIZED WHITE NOISE, SCHWINGER FUNCTIONS AND THEIR ANALYTIC CONTINUATION TO WIGHTMAN FUNCTIONS ⋮ The Berezin calculus ⋮ Quantum interaction :φ44:, the construction of quantum field defined as a bilinear form ⋮ Implementing symmetries of a free Bose field via white noise operators ⋮ Irving Segal's work on infinite dimensional integration theory ⋮ Some comments on the work of I. E. Segal on group representations ⋮ Strong hypercontractivity and relative subharmonicity

Cites Work

• The contractivity of the free Hamiltonian semigroup in the \(L^ p\) space of entire functions
• Nonlinear functions of weak processes. II
• Distributions in Hilbert Space and Canonical Systems of Operators
• Linear Symmetries of Free Boson Fields
• Analytic and Entire Vectors for Representations of Lie Groups
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