A transfer principle in harmonic analysis

DOI10.2307/2273134zbMath0427.03047OpenAlexW2163304450MaRDI QIDQ3863882

Gaisi Takeuti

Publication date: 1979

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2273134

zbMATH Keywords

Fourier transformDaniell integralBoolean valued analysis

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Nonstandard models of arithmetic (03H15) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Linear spaces of operators (47L05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Other aspects of forcing and Boolean-valued models (03E40) Set functions, measures and integrals with values in abstract spaces (28B99) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) Set functions and measures on spaces with additional structure (28C99)

Related Items (14)

Forcing in nonstandard analysis ⋮ Kantorovich spaces and the metrization problem ⋮ Inequalities for dominated mappings ⋮ Boolean-valued analysis of order-bounded operators ⋮ Unnamed Item ⋮ Quantum set theory: transfer principle and De Morgan's laws ⋮ On the Fourier transform of dominated mappings ⋮ Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in physics ⋮ Boolean valued interpretation of Banach space theory and module structures of von Neumann algebras ⋮ Unnamed Item ⋮ Некоторые замечания о нестандартных методах анализа. I ⋮ An unconventional canonical quantization of local scalar fields over quantum space-time ⋮ Boolean Valued Analysis: Background and Results ⋮ Boolean valued analysis and type I \(AW^*\)-algebras

Cites Work

• Iterated Cohen extensions and Souslin's problem
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• Unnamed Item

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