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INTEGRATION OVER HILBERT SPACE AND OUTER EXTENSIONS

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Publication:3242408
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DOI10.1073/pnas.43.4.336zbMath0077.31303OpenAlexW2015380592WikidataQ37617025 ScholiaQ37617025MaRDI QIDQ3242408

Harold N. Shapiro, Kurt Otto Friedrichs

Publication date: 1957

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.43.4.336

zbMATH Keywords

Abstract SpacesFunctional Analysis



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Gaussian measures on linear spaces, Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory, Measurable Functions on Hilbert Space, Integrals devised for special purposes, Spectral methods for nonlinear functionals and functional differential equations, Integration in linear spaces, Infinite dimensional Fock spaces and associated creation and annihilation operators, Hypercontra ctive semigroups and two dimensional self-coupled Bose fields, Integration and Nonlinear Transformations In Hilbert Space, Jump-type processes and their applications in quantum mechanics, Algebraic integration theory, Local relativistic invariant flows for quantum fields, Interpolation theory and refinement of nested Hilbert spaces



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