Some applications of Boolean valued set theory to abstract harmonic analysis on locally compact groups

DOI10.2977/PRIMS/1195179842zbMath0582.43005OpenAlexW2071898284MaRDI QIDQ1069087

Hirokazu Nishimura

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195179842

zbMATH Keywords

Fourier transformunitary representationBochner theorempositive definite functionlocally compact groupsabstract harmonic analysisBoolean algebra of projectionsBoolean valued set theory

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Logical aspects of Boolean algebras (03G05) Positive definite functions on groups, semigroups, etc. (43A35) Other aspects of forcing and Boolean-valued models (03E40) Nonstandard analysis (26E35)

Related Items (3)

Forcing in nonstandard analysis ⋮ Boolean valued interpretation of Banach space theory and module structures of von Neumann algebras ⋮ Boolean Valued Analysis: Background and Results

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