Irving Segal's work on infinite dimensional integration theory

DOI10.1006/jfan.2001.3878zbMath1016.01020OpenAlexW2037454724MaRDI QIDQ1604527

Leonard Gross

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2001.3878

zbMATH Keywords

Biography

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) History of functional analysis (46-03) History of measure and integration (28-03)

Related Items (1)

Categorical geometry and integration without points

Cites Work

• Tensor algebras over Hilbert spaces. II
• Mathematical characterization of the physical vacuum for a linear Bose- Einstein field
• Singular operators on Boson fields as forms on spaces of entire functions on Hilbert space
• Quasi-finiteness of the interaction Hamiltonian of certain quantum fields
• Construction of nonlinear local quantum processes. I
• A non-commutative extension of abstract integration
• Tensor Algebras Over Hilbert Spaces. I
• Distributions in Hilbert Space and Canonical Systems of Operators
• Quantization of Nonlinear Systems
• Nonlinear Quantum Fields in ≥4 Dimensions and Cohomology of the Infinite Heisenberg Group
• Harmonic analysis with respect to heat kernel measure
• Explicit Formal Construction of Nonlinear Quantum Fields
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